The number of solutions of equation Sin-1- x 2-1-Cos-1-2 x 2-5-2 isA- 1B- 0C- 3D- 2

The correct option is D 2|x^2 1|=|2x^2 5|⇒ x =±√(2) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Properties Derived from Trigonometric Identities

The number of...

Question

The number of solutions of equation $S i n^{- 1} (| x^{2} - 1 |) + C o s^{- 1} (| 2 x^{2} - 5 |) = \frac{π}{2}$ is ___

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C 2
$| x^{2} - 1 | = | 2 x^{2} - 5 | \Rightarrow x = \pm \sqrt{2}$

Suggest Corrections

Similar questions

Q. The number of solutions of equation

S i n^{- 1} (| x^{2} - 1 |) + C o s^{- 1} (| 2 x^{2} - 5 |) = \frac{π}{2}

is ___

Q. Number of solutions of the equation

s i n^{- 1} (1 - x) - 2 s i n^{- 1} x = \frac{π}{2}

Q. Number of solutions in [-1, 1], of the equation

s i n^{- 1} \frac{2}{3} x + s i n^{- 1} \frac{\sqrt{5}}{3} x = s i n^{- 1} x

is:

If the equation $s i n^{- 1} (x^{2} + x + 1) + c o s^{- 1} (a x + 1) = \frac{π}{2}$ has exactly two solutions, then a cannot have the integral value/s

Q. The number of positive integral solutions of

{tan}^{- 1} x + {cos}^{- 1} \frac{y}{\sqrt{1 + y^{2}}} = {sin}^{- 1} \frac{3}{\sqrt{10}}

Join BYJU'S Learning Program

The number of solutions of equation Sin−1(|x2−1|)+Cos−1(|2x2−5|)=π2 is ___

The correct option is C 2|x2−1|=|2x2−5|⇒x=±√2

The number of solutions of equation $S i n^{- 1} (| x^{2} - 1 |) + C o s^{- 1} (| 2 x^{2} - 5 |) = \frac{π}{2}$ is ___

The correct option is C 2
$| x^{2} - 1 | = | 2 x^{2} - 5 | \Rightarrow x = \pm \sqrt{2}$