This MCQ is based on Concepts of Quadrilaterals

This includes midpoint theorem, parallelogram, square, kite, rhombus, rectangle, and trapezium.

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The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?

82° 52° 68° 75°

All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it?

Parallelogram Square Rectangle Trapezium

In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is a

Triangle Kite Rhombus Rectangle

The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will be

115°, 79°, 118°, 48° 100° 79°, 118°, 63° 110°, 84°, 106°, 60° 75°, 89°, 128°, 68°

Three angles of a quadrilateral are 75°, 90°and 75°, the fourth angle is

90° 95° 105° 120°

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is

55° 50° 40° 25°

ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is

40° 45° 50° 60°

The diagonals AC and BD of a || gm ABCD intersect each other at the point O. If ∠DAC = 32° and ∠AOB = 70°, then ∠DBC is equal to

24° 86° 38° 32°

The quadrilateral whose all its sides are equal and angles are equal to 90 degrees, it is called:

Rectangle Square Kite Parallelogram

The sum of all the angles of a quadrilateral is equal to:

180° 270° 360° 90°

A trapezium has:

One pair of opposite sides parallel Two pairs of opposite sides parallel to each other All its sides are equal All angles are equal

A rhombus can be a:

Parallelogram Trapezium Kite Square

A diagonal of a parallelogram divides it into two congruent:

Square Parallelogram Triangles Rectangle

Existence of point c where derivative of a function becomes zero Existence of point c where derivative of a function is positive Existence of point c where derivative of a function is negative Existence of point c where derivative of a function is either positive or negative

Rolle’s Theorem is a special case of

Lebniz Theorem Mean Value Theorem Taylor Series of a function Leibnit’x Theorem

Find the value of c(a point where slope of a atangent to curve is zero) if f(x) = Sin(x) is continuous over interval [0,π] and differentiable over interval (0, π) and c ∈(0,π)

π π⁄2 π⁄6 π⁄4

Find the value of c if f(x) = x(x-3)e3x, is continuous over interval [0,3] and differentiable over interval (0, 3) and c ∈(0,3)

0.369 2.703 0 3

Find the value of c if f(x) = sin3(x)cos(x), is continuous over interval [0, π⁄2] and differentiable over interval (0, π⁄2) and c ∈(0, π⁄2)

0 π⁄6 π⁄3 π⁄2

If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio 3:7:6:4, then ABCD is

Rhombus

Parallelogram

Trapezium

Kite

If angles A, B, C and D of a quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then ABCD is a

Rhombus

Parallelogram

Trapezium

Kite.

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