### previous year most repeated questions for board

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__This are most repeated questions in board exam which will help you to score more in board exam. __

1.The ratio of the areas of two similar triangles are equal to the ratio of the squares of any two corresponding sides.prove.

2.If A line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.prove.

3.If the diagonals of a quadrilateral divide each other proportionally, then it is a trapezium.prove.

4.Show that the square of any positive integer is of the form 3m or 3m +1 for some integer m.

5.Find all the zeros of the polynomial x4+ x3 - 34x² - 4x + 120, if two of its zeros are 2 and -2.

6.If the sum of 7 terms of an A.P. is 49 and that of 17 terms is 289, find the sum of n terms.

7.ABC is an isosceles triangle in which AB = AC, circumscribed about a circle, as shown in

8.A circle is touching the side BC of triangle ABC at P and touching AB and AC produced at Q and R respectively. Prove that

AQ=

__1__( Perimeter of triangle ABC)
2

9.If all the side of a parallelogram touch a circle, show that the parallelogram is a rhombus.

10.The angle of elevation of the top of the building from the foot of the tower is 30° and the angle of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

good keep it up

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