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question_answer1)
Which of the following sets of measures cannot be the lengths of the sides of a right triangle?
A)
5 cm, 4 cm and 03 cm done
clear
B)
8 cm, 6 cm and 11 cm done
clear
C)
1 cm, \[2.4\]cm and \[2.6\] cm done
clear
D)
60 cm, 25 cm and 65 cm done
clear
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question_answer2)
In a \[\Delta PQR,\] If\[P{{Q}^{2}}=P{{R}^{2}}+Q{{R}^{2}},\]at which vertex is the right angle?
A)
P done
clear
B)
Q done
clear
C)
R done
clear
D)
Either P or Q done
clear
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question_answer3)
The given figure shows a right-angled \[\Delta PQR.\]Each of the three sides of the triangle also act as sides of a square.
What is the area of the shaded region in the given figure?
A)
\[9\text{ }c{{m}^{2}}\] done
clear
B)
\[\text{13 }c{{m}^{2}}\] done
clear
C)
\[\text{26 }c{{m}^{2}}\] done
clear
D)
\[\text{18 }c{{m}^{2}}\] done
clear
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question_answer4)
Which type of triangle is formed by \[BC=7.2\text{ }cm,\text{ }AC=6\text{ }cm\] and \[\angle C=120{}^\circ \]?
A)
An acute angled triangle. done
clear
B)
An obtuse angled triangle. done
clear
C)
A right angled triangle. done
clear
D)
An isosceles triangle. done
clear
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question_answer5)
What is the perimeter of the given figure?
A)
12 done
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B)
14 done
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C)
\[16.6\] done
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D)
\[18.2\] done
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question_answer6)
Which triangle is formed by \[AB=5\text{ }cm,\text{ }BC=6\text{ }cm\] and \[AC=7\text{ }cm\]?
A)
A scalene triangle. done
clear
B)
An isosceles triangle. done
clear
C)
An equilateral triangle done
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D)
none of above done
clear
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question_answer7)
The length of one of the diagonals of a rhombus is\[4\text{ }cm\]. If each side of the rhombus measures \[2.5\text{ }cm,\] then what is the length of the other diagonal?
A)
5 cm done
clear
B)
6 cm done
clear
C)
\[3.5\text{ }cm\] done
clear
D)
\[3\text{ }cm\] done
clear
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question_answer8)
If two angles in a triangle are \[55{}^\circ \] and \[45{}^\circ ,\] what is the third angle?
A)
\[80{}^\circ \] done
clear
B)
\[55{}^\circ \] done
clear
C)
\[45{}^\circ \] done
clear
D)
\[90{}^\circ \] done
clear
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question_answer9)
The given figure shows two buildings AB and CD. X is a point between the buildings from which two ropes are tied without slack to the top of the buildings.
What is the distance between the buildings?
A)
\[15\,m\] done
clear
B)
\[14\,m\] done
clear
C)
\[13\,m\] done
clear
D)
\[12\,m\] done
clear
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question_answer10)
If one angle is the average of the other two angles and the difference between the greatest and least angles is \[60{}^\circ ,\] which triangle is formed?
A)
An isosceles triangle. done
clear
B)
An equilateral triangle. done
clear
C)
A right angled triangle. done
clear
D)
A right angled isosceles triangle. done
clear
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question_answer11)
If two angles of a triangle measure \[45{}^\circ \] and \[60{}^\circ ,\]then which of the following angle cannot be the measure of one of the exterior angles of the triangle?
A)
\[105{}^\circ \] done
clear
B)
\[120{}^\circ \] done
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C)
\[140{}^\circ \] done
clear
D)
\[135{}^\circ \] done
clear
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question_answer12)
In \[\Delta ABC,\]If \[AB=BC\] and \[\angle B=40{}^\circ ,\]what is the measure of \[\angle C\]?
A)
\[70{}^\circ \] done
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B)
\[80{}^\circ \] done
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C)
\[130{}^\circ \] done
clear
D)
\[40{}^\circ \] done
clear
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question_answer13)
The given figure shows two parallel lines AB and CD, which are intersected by transversal PQ at L and M. LD is also joined as shown.
What is the value of x in the given figure?
A)
\[63{}^\circ \] done
clear
B)
\[58{}^\circ \] done
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C)
\[70{}^\circ \] done
clear
D)
\[85{}^\circ \] done
clear
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question_answer14)
Which triangle is formed by \[BC=AC=4.8\text{ }cm\] and \[\angle C=90{}^\circ ?\]
A)
A right angled triangle. done
clear
B)
An isosceles triangle. done
clear
C)
A right angled isosceles triangle. done
clear
D)
No triangle is formed. done
clear
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question_answer15)
What is the value of \[\angle a\] in the given figure?
A)
\[145{}^\circ \] done
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B)
\[125{}^\circ \] done
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C)
\[100{}^\circ \] done
clear
D)
\[140{}^\circ \] done
clear
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question_answer16)
Which of the following statement is true?
A)
The sum of two sides of a triangle is greater than the third side. done
clear
B)
In a right angled triangle, hypotenuse is the shortest side. done
clear
C)
A, B and C are not collinear if \[AB+BC=AC\]. done
clear
D)
The sum of angles in a triangle is less than\[180{}^\circ \]. done
clear
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question_answer17)
\[AB||CD\] in the figure as shown below, then \[~\angle ACD\] is equal to
A)
\[80{}^\circ \] done
clear
B)
\[40{}^\circ \] done
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C)
\[60{}^\circ \] done
clear
D)
\[65{}^\circ \] done
clear
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question_answer18)
What is the length of the hypotenuse of a right angled triangle whose two legs measure \[30\text{ }cm\] and \[0.4\] metres.
A)
50 cm done
clear
B)
60 cm done
clear
C)
\[0.568\text{ }cm\] done
clear
D)
37 cm done
clear
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question_answer19)
The three angles of a triangle are in the ratio \[1:2:3,\] then the greatest angle is
A)
\[105{}^\circ \] done
clear
B)
\[90{}^\circ \] done
clear
C)
\[120{}^\circ \] done
clear
D)
\[100{}^\circ \] done
clear
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question_answer20)
If the two legs of a right angled triangle are equal and the square of the hypotenuse is \[400\text{ }sq\text{ }cm,\]what is the length of each leg?
A)
\[40\text{ }cm\] done
clear
B)
\[\text{10}\sqrt{2}\text{ }cm\] done
clear
C)
\[\text{50}\sqrt{2}\text{ }cm\] done
clear
D)
15 cm done
clear
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question_answer21)
If one of the angles of an isosceles triangle measures \[30{}^\circ ,\] then what are the possible differences between the measures of its unequal angles?
A)
\[20{}^\circ \]and \[70{}^\circ \] done
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B)
\[45{}^\circ \] and \[90{}^\circ \] done
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C)
\[30{}^\circ \]and \[90{}^\circ \] done
clear
D)
\[45{}^\circ \]and \[105{}^\circ \] done
clear
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question_answer22)
If two sides of an isosceles triangle are 4 cm and 9 cm, what is the length of the third side?
A)
4 cm done
clear
B)
9 cm done
clear
C)
4 cm or 9 cm done
clear
D)
12 cm done
clear
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question_answer23)
The given figure shows an isosceles \[\Delta ABC\] with\[AB=BC\]. Sides BC and AC are extended to S and T respectively, such that CS and CT along with ST form sides of \[\Delta CST\].
How can \[\Delta CST\] be classified
A)
Acute - angled and scalene done
clear
B)
Acute - angled and isosceles done
clear
C)
Right - angled and scalene done
clear
D)
Right - angled and isosceles done
clear
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question_answer24)
In a \[\Delta ABC\] if \[AB+BC=8\text{ }cm,\] \[BC+CA=10\text{ }cm,\] \[CA+AB=12\text{ }cm,\] what is the sum of the lengths of its sides?
A)
15 cm done
clear
B)
20cm done
clear
C)
\[37.5\text{ }cm\] done
clear
D)
40 cm done
clear
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question_answer25)
\[\Delta ABC\] is right - angled at B. If the measures of \[\angle A\] and \[\angle C\] are in the ratio \[7:5\] then what is the measure of \[\angle C\]?
A)
\[40{}^\circ \] done
clear
B)
\[60{}^\circ \] done
clear
C)
\[37.5{}^\circ \] done
clear
D)
\[70{}^\circ \] done
clear
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question_answer26)
Which of the following are the angles in a right angled triangle other than the right angle?
A)
Acute angles done
clear
B)
Obtuse angles done
clear
C)
Right angles done
clear
D)
none of these done
clear
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question_answer27)
If a, b, and c are the sides of a triangle, which of the following is correct?
A)
\[a-b>c\] done
clear
B)
\[c>a+b\] done
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C)
\[c=a+b\] done
clear
D)
\[b<c+a\] done
clear
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question_answer28)
If the angles of a triangle are in the ratio \[1:3:14\] what type of a triangle is it?
A)
An acute angled triangle. done
clear
B)
An obtuse angled triangle. done
clear
C)
A right angled triangle. done
clear
D)
A right angled isosceles triangle. done
clear
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question_answer29)
A triangle always has
A)
Exactly one acute angle. done
clear
B)
Exactly two acute angles. done
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C)
At least two acute angles. done
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D)
Exactly 2 right angles. done
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question_answer30)
How many independent measurements are required to construct a triangle?
A)
3 done
clear
B)
4 done
clear
C)
2 done
clear
D)
5 done
clear
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question_answer31)
In a \[\Delta \text{ }ABC,\]if \[\angle B\] is an obtuse angle, which is the longest side?
A)
AB done
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B)
BC done
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C)
AC done
clear
D)
Either (a) or (b) done
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question_answer32)
Two chimneys 18 m and 13 m high stand upright on a ground. If their feet are 12 m apart, what is the distance between their tops?
A)
10 cm done
clear
B)
27 m done
clear
C)
13 m done
clear
D)
9 m done
clear
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question_answer33)
The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, what is the actual height of the tree?
A)
18 m done
clear
B)
25 m done
clear
C)
27 m done
clear
D)
29 m done
clear
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question_answer34)
What is the ratio in which the centroid of a triangle divides the medians?
A)
\[1:2\] done
clear
B)
\[1:3\] done
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C)
\[2:1\] done
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D)
\[3:1\] done
clear
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question_answer35)
The centroid of a triangle is the point or concurrence of which of these?
A)
Angle bisectors done
clear
B)
Perpendicular bisectors done
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C)
Altitudes done
clear
D)
Medians done
clear
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question_answer36)
Which of the following statements is false?
A)
The centroid of an acute angled triangle lies in the interior of the triangle. done
clear
B)
The orthocenter of an acute angled triangle lies in the interior of the triangle done
clear
C)
The medians of a triangle are concurrent. done
clear
D)
From cicumcenter, we cannot draw a circle touching all the three vertices of triangle. done
clear
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question_answer37)
Which of the following statements is false?
A)
The orthocenter of a right angled triangle is the vertex containing the right angle. done
clear
B)
The median of a triangle joins a vertex to the midpoint of the opposite side. done
clear
C)
The centroid of a right angled triangle lies in the interior of the triangle. done
clear
D)
Incentre lies outside then triangle. done
clear
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question_answer38)
In \[\Delta PQR,\text{ }PQ\text{ }=\text{ }PR;\]M is a mid point on QR and \[MT\bot QR\]. What do you call MT?
A)
Centroid done
clear
B)
Median done
clear
C)
Perpendicular bisector done
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D)
Vertex done
clear
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question_answer39)
Which of the following statements is NOT true?
A)
A triangle can not have two obtuse angles. done
clear
B)
A triangle can have three acute angles. done
clear
C)
A triangle can have two right angles. done
clear
D)
A triangle can have all three angles equal. done
clear
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question_answer40)
Find the angles x and y respectively, \[BE||DC\]
A)
\[x=30{}^\circ ,\text{ }y=50{}^\circ \] done
clear
B)
\[x=25{}^\circ ,\text{ }y=75{}^\circ \] done
clear
C)
\[x=50{}^\circ ,y=30{}^\circ \] done
clear
D)
\[x=50{}^\circ ,y=25{}^\circ \] done
clear
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