ABHYAS | Self Learning | Testing Platform

Q.1

In the given figure, $large dpi{110} ABleft | right |DE,$ ABEF is a parallelogram and ABCD is a rectangle.If EF=x, then CD is equal to

A.

2x

B.

$frac{x}{2}$

C.

x

D.

x+a

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Q.2

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is

A.

1 : 2

B.

2 : 1

C.

1 : 1

D.

3 : 1

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Q.3

In the given figure,if ar ( $Delta$ PQR) = 17 sq. units,then ar ( $Delta$ XYZ) is

A.

17 sq. units

B.

$frac{17}{2}$ sq. units

C.

34 sq. units

D.

none of these

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Q.4

If KLMN is a parallelogram and a KOL is a triangle with area x $m^2$ , then the area (KLMN) is _________________

A.

2x $m^2$

B.

x $m^2$

C.

3x $cm^2$

D.

2x $cm^2$

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Q.5

In $In ; Delta ABC ;and; Delta ;PQR,;AB=PQ,;BC=QR; and ;AC;=;PR. ;If$ $large ar(Delta ABC);=;20 ;sq.; units,$ $then ;ar(Delta PQR) is; equal;to$

A.

10 sq. units

B.

20 sq.units

C.

40 sq. units

D.

30 sq. units

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Q.6

In the given figure, ABCD and PQCD are two parallelogram on the same base CD. If ar(ABCD) =X sq. units and ar(PQCD)=y sq. units,which of the following realtionships is true?

A.

$x< y$

B.

$x>y$

C.

x=2y

D.

x=y

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Q.7

In the figure given below,ABDC and PQCD are two parallelograms.

if area of trapeziumDPBC=150 $cm^2$ and $large Delta BQC=50cm^2$

then area of ACDB is ______________

A.

150 $cm^2$

B.

100 $cm^2$

C.

$200 cm^2$

D.

250 $cm^2$

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Q.8

In the figure if $large dpi{110} AD left | right |BC$ , AD=BC and CN is perpendicular to AB (produed),which of the following reationalship is true?

A.

$ar(ACB)=frac{1}{2}ar(ABCD)$

B.

ar(ABC)=ar(ABCD)

C.

ar(ABCD)=ar(ANCD)

D.

ar(ADC)=ar(ABCD)

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Q.9

PQRS is a parallelogram formed by joining the mid - points of sides of quadrilateral ABCD.

Choose the correct relationship from the following :

A.

$large ar (square PQRS)=ar(square ABCD)$

B.

ar (PRQ) = ar (PSR)

C.

ar PQR = ar DSP

D.

ar (SCR) = ar ( PAQ)

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Q.10

In the figure, $<$ DAB= $<$ ABC .

if $<$ 1= $<$ 2, then choose a correct relationship from the following.

A.

$ar Delta ADB neq arDelta ACB$

B.

$ar Delta ADB = arDelta ACB$

C.

ar $Delta$ ABD=2 ar $Delta$ AOB

D.

2 ar $Delta$ AOB=ar $Delta$ ACB

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Q.11

$Delta MNO cong Delta ABC$ If the altitude and base of $Delta$ MNO are x and y,then ar( $Delta$ ABC) is equal to

A.

xy

B.

$frac{1}{2}$ xy

C.

2xy

D.

(x+y)

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Q.12

If $dpi{110} Delta$ ABC $cong$ $Delta$ XYZ,which of the following is true?

A.

$angle A =angle Y$

B.

$angle A+angle C=angle X+angle Y$

C.

$ar(Delta ABC)=ar(Delta XYZ)$

D.

AB = YZ

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Q.13

A, B, D, C, E, F are points on three lines I, m and n.

If ar(ABC) = ar(ADC) = ar(AFC) = ar(AEC), then

A.

$BD parallel EF$

B.

$BD$ is not parallel to EF

C.

$AD parallel CF$

D.

$AD parallel CE$

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Q.14

In the figure, if $ABleft | right |CD$ , AB=CD and CN is perpendicular to AB (produced)the diagonals of the ABCD intersect at O, then which of the following relationships is true?