Question # 1

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The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

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none of these

In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

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0

1

-2

10

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

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Order

Degree

Variables

All are correct

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Intersection of two parabolas

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parabola

Two points

Four points

Hyperobla

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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π

π / 2

π / 3

π / 4

The span of a standard parabola depends upon

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x

a

y

y2

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

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In R, the additive inverse of a is

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0

1

-a

1/a

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

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Evert element of A is in B

Every element of B is in A

Every element of A is in B'

Every element of A is in A

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

2x = 3 is a conditional equation it is true for

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2

3

3/2

2/3

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

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