question_answer1) Solve for \[x:\sqrt{6x+7}-(2x-7)=0\]
View Answer play_arrowquestion_answer2)
There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out from the bag at random. Find the probability that the number on the selected card |
(i) is divisible by 9 and is a perfect square, |
(ii) is a prime number greater than 80. |
question_answer3) Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by 60. Find the numbers.
View Answer play_arrowquestion_answer4) The sums of first n terms of three arithmetic progressions are \[{{S}_{1}},{{S}_{2}}\] and \[{{S}_{3}}\] respectively. The first term of each A.P. is 1 and their common differences are 1, 2 and 3 respectively. Prove that \[{{S}_{1}}+{{S}_{3}}=2{{S}_{2}}\].
View Answer play_arrowquestion_answer5) Two pipes running together can fill a tank in \[11\frac{1}{9}\] minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.
View Answer play_arrowquestion_answer6) From a point on the ground, the angle of elevation of the top of a tower is observed to be \[60{}^\circ \]. From a point 40 m vertically above the first point of observation, the angle of elevation of the top of the tower is \[30{}^\circ \]. Find the height of the tower and its horizontal distance from the point of observation.
View Answer play_arrowquestion_answer7) Draw a triangle with sides 5 cm, 6 cm. and 7 cm. Then draw another triangle whose sides are \[\frac{4}{5}\] of the corresponding sides of first triangle.
View Answer play_arrowquestion_answer8) A number x is selected at random from the numbers 1, 4, 9, 16 and another number y is selected at random from the numbers 1, 2, 3, 4. Find the probability that the value of xy is more than 16.
View Answer play_arrow
You need to login to perform this action.
You will be redirected in
3 sec