Match the items of column I with those of column II
\begin{tabular}{|l|l|l|l|}
\hline \multicolu....
Match the items of column I with those of column II
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column I } & \multicolumn{2}{c|}{ Column II } \\
\hline (A) & \begin{tabular}{l}
\( \operatorname{Tan} 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+ \) \\
\( \tan 81^{\circ} \) is equal to
\end{tabular} & (p) & 0 \\
\hline (B) & \begin{tabular}{l}
If \( \tan \mathrm{A}+\tan \mathrm{B}+\tan \mathrm{C}=6 \) \\
and \( \tan \mathrm{A} \tan \mathrm{B}=2 \) where \( \mathrm{A} \) \\
\( +\mathrm{B}+\mathrm{C}=180^{\circ} \), then tan \( \mathrm{C} \) is
\end{tabular} & (q) & \( \sqrt{3} \) \\
\hline (C) & \begin{tabular}{l}
The value of \\
\( \operatorname{Cot} 70^{\circ}+4 \cos 70^{\circ} \) is
\end{tabular} & (r) & 4 \\
\hline (D) & \begin{tabular}{l}
If \( \tan ^{2} \theta=2 \tan ^{2} \alpha+1 \), then \\
the value of \( \cos 2 \theta+\sin ^{2} \alpha \) \\
is
\end{tabular} & (s) & 3 \\
\hline
\end{tabular}
(1) (A) -s; (B) -r; (C) -q; (D) -p
(2) (A) \( -\mathrm{r} \); (B) \( -\mathrm{s} \); (C) \( -\mathrm{p} \); (D) \( -\mathrm{q} \)
(3) (A) \( -\mathrm{r} ; \) (B) \( -\mathrm{s} \); (C) \( -\mathrm{q} \); (D) \( -\mathrm{p} \)
(4) (A) \( -\mathrm{s} \); (B) \( -\mathrm{q} \); (C) \( -\mathrm{r} ; \) (D) \( -\mathrm{p} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-21 | When ever the terms on the two sides of the equation of different nature, then equations are kno.... |
2024-01-21 | \( \cos ^{2} x-2 \cos x=4 \sin x-\sin 2 x \) if.... |
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 | Match the items of column-I with of column-II.
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}.... |
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.... |