Question

{Note: I am unable to write squares of some numbers, So I write in this form
Example :- 2(raised to the power 2 ) = 2×2 }
MCQ's
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Q.1. If x+2 Is factor of x(raised to the power 7 ) - 2ax(raiesd to the power 2) + 16 ,then value of α is
(a) 3
(b) 1
(c) 4
(d) 2
Q. 2. If one of the factor of x(raised to the power 3) + x - 20 is (x+5). Find the other
(a) x-4
(b) x+2
(c) x+4
(d) x-5

True or False
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Q.3. State whether the following statements are true or false.
(a) 2√5 25 is a rational number.
(b) There are infinitely many integers between any two integers.
(c) Number of rational numbers between 11 and 13 is finite.
(d) There are numbers which cannot be written in the form p/q , q is not equal to 0, p, q both are integers.
(e) The square of an irrational number is always rational.
(f) √18 √2 182 is not a rational number as √18 18 and √2 2 are not integers.

Answer 1

Answer:

1) p(-2) = (-2)^2 - 2 x a x (-2)^2

           = 4-8a

           = -4a

        ∴ a = 4

2) x+2

3) a) true, 25 is a rational number because it can be expressed as the quotient of two integers: 25÷ 5

b) True

c) True

d) True

e)True

f)False

im not sure about the 3) f)...but i hope it is correct

Hope the other answers help ya......