The number of real roots of the equation
\( 2^{\sin ^{2} x}-2^{\cos ^{2} x}=15 \) is....
The number of real roots of the equation
P
\( 2^{\sin ^{2} x}-2^{\cos ^{2} x}=15 \) is
W
(1) 2
(2) 1
(3) Infinite
(4) None of these
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-21 | \( \cos (\alpha-\beta)=1 \) and \( \cos (\alpha+\beta)=1 / e \), where \( \alpha, \beta \in \)
\.... |
| 2024-01-21 | If the equation \( x^{2}+2(k+1) x+9 k-5=0 \) has only
negative roots, then.... |
| 2024-01-21 | Let \( S=\left\{\theta \in[-2 \pi, 2 \pi]: 2 \cos ^{2} \theta+3 \sin \theta=0\right\} \).
Then t.... |
| 2024-01-21 | The solution of the equation \( \cos ^{103} x-\sin ^{103} x=1 \) are.... |
| 2024-01-21 | The sum of all values of \( \theta \in\left(0, \frac{\pi}{2}\right) \) satisfying
\( \sin ^{2} 2.... |
| 2024-01-21 | If \( (1+k) \tan ^{2} x-4 \tan x-1+k=0 \) has real roots
\( \tan x_{1} \) and \( \tan x_{2} \), .... |
| 2024-01-21 | Match the items of Column-I with those of ColumnII.
\begin{tabular}{|c|c|c|c|}
\hline \multicolu.... |
| 2024-01-21 | The roots of the equation
\( (a+\sqrt{b})^{x^{2}-15}+(a-\sqrt{b})^{x^{2}-15}=2 a \) where \( a^{.... |
| 2024-01-21 | Match the items of column I with those of column II
\begin{tabular}{|l|l|l|l|}
\hline \multicolu.... |
| 2024-01-21 | If \( a+b+c=0 \), then the quadratic equation \( 3 a x^{2}+ \)
\( 2 b x+c=0 \) has.... |
| 2024-01-21 | The number of real roots of the equation
\( 2^{\sin ^{2} x}-2^{\cos ^{2} x}=15 \) is.... |
| 2024-01-21 | If the expression \( x^{2}-11 x+a \) and \( x^{2}-14 x+2 a \) have
a common factor and \( a \neq.... |
| 2024-01-21 | If \( \alpha, \beta \) be the roots of \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \) those
of \.... |
| 2024-01-21 | If \( 0 \leq x \leq \frac{\pi}{2} \), then the solution of the equation
\( 16^{\sin ^{2} x}+16^{.... |
| 2024-01-21 | If the expression, \( 2 \cos 10^{\circ}+\sin 100^{\circ}+\sin 1000^{\circ}+ \) \( \sin 10000^{\c.... |
| 2024-01-21 | If \( \alpha, \beta \) be roots of \( x^{2}+p x+1=0 \) and \( \gamma, \delta \) be the roots of .... |
| 2024-01-21 | If \( x \) is real, then the value of the expression
\( \frac{x^{2}+14 x+9}{x^{2}+2 x+3} \) lies.... |
| 2024-01-21 | If \( c \neq 0 \) and the equation \( \frac{p}{2 x}=\frac{a}{x+c}+\frac{b}{x-c} \) has two
equal.... |
| 2024-01-21 | If \( \alpha, \beta \) be the roots \( x^{2}+p x-q=0 \) and \( \gamma, \delta \) be the
roots of.... |
| 2024-01-21 | If \( \alpha \) and \( \beta \) are the roots of the equation \( a x^{2}+b x+c \) \( =0 \), then.... |
| 2024-01-21 | The number of integral values of ' \( n \) ' so that \( \sin x(\sin \) \( x+\cos x)=n \) has at .... |
0