## Category: Paper – 9

## S-9-29-In fig-5, a toy is in the form of a cone mounted on a hemisphere of common base of radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy. [π=22/7]

## S-9-28-There are two poles either on each bank of a river, just opposite to each other. One pole is 60 metre high. From the top of this pole, the angles of depression of the top and the foot of the other pole are 30° and 45° respectively. Find the width of the river and t he height of the other pole. (√3=1.732)

There are two poles either on each bank of a river, just opposite to each other. One pole is 60 metre high. From the top of this pole, the angles of depression of the top and the foot of the other pole Read More …

## S-9-27-Find the area of the segment APB shown in fig-4, if radius of the circle is 14 cm, ∠ AOB=120° and AB=14√13 cm (use π =22/7)

## S-9-26-Prove that, (sinθ -cosθ +1/sinθ +cosθ -1)=(1+sinθ/cosθ)

## S-9-25-Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle. Or Let ABC be a right triangle in which AB = 6 cm, BC = Read More …

## S-9-24-Find the common difference of an A.P. whose 1st term is 100 and the sum of whose first six terms is 5 times the sum of the next six terms.

## S-9-23-If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction ?

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction ? Or The sum of a 2 Read More …

## S-9-22-One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting : a) a king of red colour (b) a spade (c) a face card

## S-9-21-A bag contains 5 red ball and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

A bag contains 5 red ball and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag. Or A bag contains 8 red balls Read More …