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PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

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The bisectors of any two adjacent  angles of a parallelogram intersect at

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

The bisectors of the angle of a parallelogram enclose a

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

The figure formed by joining the mid-points of the adjacent sides of a rectangle is a

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

In a parallelogram ABCD, if ∠DAB = 75° and ∠DBC = 60°, then ∠BDC =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCDrespectively, then EF =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

ABCD is a parallelogram, M is the mid-point of BD and BM bisects ∠B. Then ∠AMB =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

ABCD is a parallelogram and E is the mid-point of BC. DE and AB when produced meet at F. Then, AF =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

The decimal expansion of the number `sqrt(2)` is ______.

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

The value of 1.999... in the form `p/q`, where p and q are integers and q ≠ 0, is ______.

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

`2sqrt(3) + sqrt(3)` is equal to ______.

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

`sqrt(10) xx sqrt(15)` is equal to ______.

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

If `sqrt(2) = 1.4142`, then `sqrt((sqrt(2) - 1)/(sqrt(2) + 1))` is equal to ______.

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

There are numbers which cannot be written in the form `p/q, q ≠ 0, p, q` both are integers.

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined
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