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

If P-Q-R and d(P, Q) = 3.4, d(Q, R)= 5.7 then d(P, R) = ?

Construct ΔPQR, in which ∠Q = 70°, ∠R = 80° and PQ + QR + PR = 9.5 cm.

Construct ΔXYZ, in which ∠Y = 58°, ∠X = 46° and perimeter of triangle is 10.5 cm.

Construct ΔLMN, in which ∠M = 60°, ∠N = 80° and LM + MN + NL = 11 cm.

Construct ΔABC, in which ∠B = 70°, ∠C = 60°, AB + BC + AC = 11.2 cm.

Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.

Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.

Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD =35°  then find ∠ACB.

State with Reason Whether the Following Statement is ‘True’ Or ‘False’.

Every rectangle is a parallelogram.

State with reason whether the following statement is ‘true’ or ‘false’.

Every parallelogram is a rectangle.

Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.

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)