SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions for Geometry

Diagonals of a rectangle PQRS are intersecting in point M. If ∠QMR = 50° find the measure of ∠MPS.

If a transversal intersects two parallel lines then the sum of interior angles on the same side of the transversal is ______.

On a graph paper plot the points A (3, 0), B(3, 3), C(0, 3). Join A, B and B, C. What is the figure formed?

Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.

Some points are shown in the following figure. With the help of it answer the following questions:

1. Write the co-ordinates of the points Q and R.
2. Write the co-ordinates of the points T and M.
3. Which point lies in the third quadrant?
4. Which are the points whose x and y co-ordinates are equal?

Find the values of -

5 sin 30° + 3 tan 45°

Find the values of -

`4/5` tan² 60° + 3sin² 60°

Plot the following points on the one and the same co-ordinate system.

A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8), F(1, 0)

Find the values of -

 2 sin 30° + cos 0° + 3 sin 90°

Find the values of -

`[tan 60°]/[sin 60° + cos 60°]`

Find the values of-

cos² 45° + sin² 30°

Find the values of -

cos 60° × cos 30° + sin 60° × sin 30°

If sin θ = `4/5` then find cos θ.

If cos θ = `15/17` then find sin θ.

Which of the following is the value of sin 90°?

2 tan 45° + cos 45° − sin 45° = ?

Find the values of x and y using the information shown in the figure.

Find the measure of ∠ABD and m∠ACD.

ΔABC is isosceles in which AB = AC. Seg BD and seg CE are medians. Show that BD = CE.

The number of angles formed by a transversal of two lines is ______.

Find the distance with the help of the number line given below.

d(B, E)