Question # 1

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

sin 2 α=

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0

Independent of a

Independent of b

Independent of c

In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

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x²+ 2x + c

(x²+ 2x -1)⁴+ c

There is no integer n for which 3n is

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Even

Prime

Odd

Real

Domain of cosec x is ______

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(2 + w) (2 + w²) = ______

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1

2

3

0

The range of the tangent function is

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all real numbers

-1 ≤ x ≥ 1

natural number

z⁺

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n!

0!

1

None of these

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

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a > 0

a < 0

a≠ 0

a≠ 0,b ≠ 0

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

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sec x tan x

-cosec x cot x

sec²x

-sin x

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be