1. The numerator of fraction is 3 less than its denominator. If 2 is added to both numerator as well as denominator. the sum of new and original fraction is 29/20 . find the Fraction.
OR
The hypotenuse of right angled triangle is 6 cm more than twice its shortest side. If third side is 2 cm less than hypotenuse. find the sides of this triangle.
2. Jaipal Singh repays the total loan of Rs. 118000 by paying every month starting with the first instalment of Rs. 1000. If he increases the installment by Rs. 100 every month. What amount will be paid by him in the 30th installment. What amount of loan does he still have to pay after 30th installment.
3. Prove that length of tangents drawn from an external point to a circle is equal.
4. A milk container is made of metal sheet in the shape of frustum of cone whose volume is 10459-3/7 cm . The radii of its lower and upper circular ends are 8 cm and 20 cm. Find the cost of metal sheet used in making the container at the rate of Rs. 1.40 per square cm.
5. A solid wooden toy is in the form of cone mounted on a hemisphere. If the radii of hemisphere and base of cone are 4.2 cm each and the total height of toy is 10.2 cm. find the volume of wood used in the toy. Also find the total surface area of toy.
OR
A circus tent is in the form of right circular cylinder and right circular cone above it. The diameter and height of cylindrical part of tent at 126 m and 5 m respectively. The total height of tent is 21 m. Find the total cost of tent if the canvas used costs Rs. 12 per m2.
6. A straight highways leads to the foot of tower. A man standing at the top of tower observes a car at an angle of depression 30 o which is approaching the foot of the tower with a uniform speed. Six seconds later. the angle of depression of car is found to be 60 o. Find the time taken by the car to reach the foot of the tower from this point.
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