The least value of -a- for which tan q and q are the roots of the equation x2 - ax - b - 0 is

The correct option is A 2 x ^ 2 +ax+b=0 roots are tan q and q (tan q + cot q) minimum value is 2 tan q + cot q= a=2 ...

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Standard XI

Mathematics

Graph of Trigonometric Ratios

The least val...

Question

The least value of $| a |$ for which $tan q$ and $cot q$ are the roots of the equation $x^{2} + a x + b = 0$ is

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Solution

The correct option is A $2$
$x^{2} + a x + b = 0$ roots are $tan q$ and $cot q$
$(t a n q + c o t q)$ minimum value is $2$
$t a n q + c o t q = - a = 2$
$a = - 2$
$| a | = 2$

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Similar questions

Q. If

a

and

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are the roots of the equation

x^{2} + a x + b = 0

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Q. If roots of equation of

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are

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and roots of

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Q. If

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and

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x^{2} + a x + b = 0

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Q. Let the values of

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lie between the roots of the equation

(x + a) (x + a^{2} - 2) = 0

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The least value of |a| for which tanq and cotq are the roots of the equation x2+ax+b=0 is

The correct option is A 2x2+ax+b=0 roots are tanq and cotq(tanq+cotq) minimum value is 2tanq+cotq=−a=2a=−2|a|=2

The least value of $| a |$ for which $tan q$ and $cot q$ are the roots of the equation $x^{2} + a x + b = 0$ is

The correct option is A $2$
$x^{2} + a x + b = 0$ roots are $tan q$ and $cot q$
$(t a n q + c o t q)$ minimum value is $2$
$t a n q + c o t q = - a = 2$
$a = - 2$
$| a | = 2$