Question # 1

Any diagonal of a parallelogram divides it in two ____ triangles:

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Congurent

Not congurent

Unequal

None

If x=-3 and y=-1 then the value of x³y will be:

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27

-27

9

-9

Two triangles are said to be congruent if all the three sides and angles are _______:

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Equal

Congruent

Concurrent

Similar

Altitudes/bisectors of isosceles triangle are congruent:

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4

2

3

None of these

The knowledge of construction of different triangles, rectangles, square etc is very useful in:

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Wood - Working

Graphic art

Metal trade

All of these

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zero

unit

scalar

singular

H.C.F of 39x⁷y³z and 91x⁵y⁶z⁷ is:

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13x⁷y⁶z²

13x⁵y³z

91x⁵y⁶z²

91x⁵y³z

The region enclosed by the bounding lines of a closed figure is called the ________ of the figure.

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Parallelogram

Area

Triangle

Square

The logarithm of any number consist of parts:

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Three

Four

One

Two

The right bisector of the sides of a right triangle intersect each other ______:

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Inside the triangle

Outside the triangle

On hypotenuse

None of these

The logarithm of any number to itself as base is:

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1

0

-1

10

If A and B are two disjoint sets then A⋃ b = ______

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A

B

∅

B⋃ A

A part of the circumference of a circle is called a/an :

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angel

are

circumference

radian

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-1

1

0

Tan 90° = __________

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1

0

Undefined

None of these

1/cosθ = ................

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Sinθ

Secθ

Co secθ

Cosθ

If a:b = x:y, then invertendo property is:

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In class (10-19) , upper class limit is.

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10

19

29

14.5

The length of a tangent to a circle is from the given point to the point of:

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start point

enc points

contact

collinear

Co sec 60^o = ...................

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1/2

√3/2

2

2/√3

Sum roots of 4x²-3x+6=0:

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One minute is denoted by:

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1'

1''

1°

60'

If triangle ABC, If ß = 90° then:

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none of these

What is called the difference between two consecutive terms of an arithmetic sequence ?

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common ratio

common difference

common element

none of these

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r₁

r₂

r₃

r

If A is a square matrix, then:

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|A^t| = A

|A^t| = -A

|A^t| = |A|

A^t= A

tan (-135°) =

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0

1

√2

Conjugate of -3 -2 i is:

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3 + 2i

-3 + 2i

2 + 3i

-2 + 3i

No. of ways of solving a quadratic equation:

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1

3

2

4

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5

14

20

6

Which number cannot be a term of a geometric sequence ?

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0

1

-1

r

Numbers are formed by using all the digits 1, 2, 3, 4, 5, 6 on digit being repeated, then the numbers which are divisible by 5 are:

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110

120

122

124

Sum of all positive integral multiples of 3 less than 100 is:

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950

760

1230

875

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

The directrix of the parabola x² = -4ay is:

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x = a

x = -a

y = a

y = -a

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

If f(x) = |x|, f(x) is a:

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Constant function

Absolute function

Linear function

Quadratic function

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

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Ellipse

Parabola

Hyperbola

Circle

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

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90°

30°

60°

0°

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these