Question # 1

Apollonius was a:

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Rocket

Muslims scientist

Greek mathematicians

Method of finding conics

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none of these

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

The slope of the normal at (4,3) to the circle x²+y²=25 is

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3/4

-3/4

4/3

-4/3

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1

2

3

4

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0

-1

1

not defined

The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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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3

6

0

None of these

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

If A is singular then |A| = ______

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1

0

2

None of these

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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In(x²- x + 1) + c

In(2x - 1) + c

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

A triangle has ____ elements

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3

4

5

6

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

If 0 = R, thenthe additive inverse of a is

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1/9

^1/-9

a

-a

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