Question # 1

If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

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none of these

The distance of the point (-2 , -3) from y-axis is

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2

-2

3

-3

Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

If n is any positive integer then n²> n + 3 for

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Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is

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30°

60°

45°

90°

Every irrational number is

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A real number

A prime number

A natural number

An integer

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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6

360

120

24

√2 is a number

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Rational

Irrational

Even

Odd

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

x =r cosθ,y= sinθ are the parametric equations of

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Circle

Ellipse

Parabola

Hyoerbola

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

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0

1

8

∞

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

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If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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0

1

2

4

The roots of the equations will be equal if b²- 4ac is

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Positive

Negative

1

Zero

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is

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an ellipse

a hyperbola

a circle

a parabola

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The exact value of cos^-1 (-1) + cos^-1(1) =

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π

-π

π/2

π/3

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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none of these

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