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question_answer1) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] All regular polygons of the same number of sides such as equilateral triangle, squares etc. are similar. Reason [R] Two polygons are said to be similar, if their corresponding angles are equal and lengths of corresponding sides are proportional.
question_answer2) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] If a line divides any two sides of a triangle in the same ratio, then the line is parallel to third side. Reason [R] Line segment joining the mid-point of any two sides of a triangle is parallel to the third side.
question_answer3) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] ABCD is a trapezium with \[DC||AB\]. E and F are points on AD and BC respectively such that\[EF||AB\]. Then, \[\frac{AE}{ED}=\frac{BF}{FC}\]. Reason [R] Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.
question_answer4) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] In a \[\Delta ABC\], if D is a point on BC such that D divides BC in the ratio AB: AC, then AD is the bisector of \[\angle A\]. Reason [R] The external bisector of an angle of a triangle divides the opposite sides internally in the ratio of the sides containing the angle.
question_answer5) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] If in a \[\Delta ABC\], a line \[DE||BC\], intersects AB at D and AC at E, then\[\frac{AB}{AD}=\frac{AC}{AE}\]. Reason [R] If a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.
question_answer6) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] In a rhombus of side 15 cm, one of the diagonals is 20 cm long. The length of the second diagonal is \[\frac{AB}{AD}=\frac{AC}{AE}\]cm. Reason [R] The sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.
question_answer7) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] In \[\Delta ABC\], \[\angle B=90{}^\circ \] and \[BD\bot AC\]. If AD = 4 cm and CD = 5 cm, then BD is \[2\sqrt{5}\] cm. Reason [R] If a line divides any two sides of a triangle in the same ratio, then the line must not be parallel to the third side.
question_answer8) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] \[\Delta ABC\] is an isosceles, right triangle, right angled at C. Then, \[A{{B}^{2}}=2A{{C}^{2}}\]. Reason [R] In a right angled triangle, the cube of the hypotenuse is equal to the sum of the squares of the other two sides.
question_answer9) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] \[\Delta ABC\] is a right triangle right angled at B. Let D and E be any points on AB and BC respectively. Then, \[A{{E}^{2}}+C{{D}^{2}}=A{{C}^{2}}+D{{E}^{2}}\]. Reason [R] In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
question_answer10) Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. Assertion [A] In a \[\Delta PQR\], N is a point on PR such that \[QN\bot PR\]. If \[PN\times NR=Q{{N}^{2}}\] then\[\angle PQR=90{}^\circ \]. Reason [R] In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two.
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