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Permutation: n Different Things Taken r at a Time

19. If a and ...

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19. If a and b are two distinct real numbers such that ab > 0 , then prove that cosθ ≠ a + b2ab

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c o s θ = \frac{a^{2} + b^{2}}{2 a b}

, where a and b are two distinct numbers such that ab>0.

Q. State true or false:

cos θ = \frac{a^{2} b^{2}}{2 a b},

where a and b are two distinct numbers such that

a b > 0.

Q. If a and b are any two such real numbers that

a b = 0

a

b

are any two real numbers such that

a b = 0

Q. Assertion :If a, b, c are three positive real numbers such that

a + c \neq 0

\frac{1}{a} + \frac{1}{a - b} + \frac{1}{c} + \frac{1}{c - b} = 0

a, b, c

H . P

a, b, c

are distinct positive real numbers such that

a (b - c) x^{2} + b (c - a) x y + c (a - b) y^{2}

is a perfect square, then

a, b, c

H . P

.

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Permutation: n Different Things Taken r at a Time

Standard XII Mathematics

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