Question # 1

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

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

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

Range of 2 tan x is ______

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[-2, 2]

-1 < x < 1

R

None of these

The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

The element range of sequence are called

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Series

progression

Members

Terms

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

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none of these

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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

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Circle

Hyperbola

Ellipse

Pair of straight lines

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

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

If n is any positive integer then n! > 2^n-1for

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