Question

Give me the hardest question for class 9 maths.

Answer 1

1. Roja, Renu and Reena are three friends. They decided to sweep a circular park near their homes. They divided the park into three parts by two equal chords AB and AC for convenience. Prove that the centre of the park lies on the angle bisector of angle BAC

2.The difference between the outside and inside surface of a cylindrical metallic pipe 14 cm long is 44cm^2. If the pipe is made of 99cm^3 of metal, find the outer and inner radii of the pipe.

3.Represent 20x + 50y= 200 by a graph. Write the coordinates of the point where it meets
(i) x axis
(ii) y axis

4. AC and BD are two chords of a circle which bisect each other. Prove that :
(i) AC and BD are diameters.
(ii) ABCD  is a rectangle

5.Prove that the opposite angles of an isosceles trapezium are supplementary.


GOOD LUCK

Answer 2

In fig 9.4, AB and AC are two equal chords of a circle whose centre is O. If OD║AB and OE ║AC. prove that triangle ADE is an isosceles triangle.