Let \( -\frac{\pi}{6}\theta-\frac{\pi}{12} \). Suppose \( \alpha_{1} \) and \( \beta_{1} \) are ...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=ct4CriH6ru0


Category:
Let's Play
Duration: 5:07
12 views
0

Let \( -\frac{\pi}{6}\theta-\frac{\pi}{12} \). Suppose \( \alpha_{1} \) and \( \beta_{1} \) are the roots of equation \( x^{2}-2 x \sec \theta+1=0 \) and \( \alpha_{2} \) and \( \beta_{2} \) are the roots of the equation \( x^{2}+2 x \tan \theta-1=0 \). If \( \alpha_{1}\beta_{1} \) and \( \alpha_{2}\beta_{2} \), then \( \alpha_{1}+\beta_{2} \) equals
[JEE Advanced 2016, 3M]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-28If \( a, b \) and \( c \) are distinct and \( D=\left|\begin{array}{lll}a & b & c \\ b & c & a \...
2022-10-28The total number of terms which depend on the value of \( x \) in the expansion of \( \left(x^{2...
2022-10-28In the expansion of \( \left(7^{1 / 3}+11^{1 / 9}\right)^{6561} \), the number of terms free fro...
2022-10-28The value of \( \sum_{r=0}^{20} r(20-r)\left({ }^{20} C_{r}\right)^{2} \) is equal to (a) \( 400...
2022-10-28The number of values of ' \( r \) ' satisfying the equation \( { }^{39} C_{3 r-1}-{ }^{39} C_{r^...
2022-10-28Solve \( \sqrt{\log _{x}(a x)^{1 / 5}+\log _{a}(a x)^{1 / 5}} \) \[ +\sqrt{\log _{a}\left(\frac{...
2022-10-28Let \( S_{n}(x)=\left(x^{n-1}+\frac{1}{x^{n-1}}\right)+2\left(x^{n-2}+\frac{1}{x^{n-2}}\right)+\...
2022-10-28If \( S=\left\{x: \sqrt{\log _{x} \sqrt{3 x}}\right. \), where \( \left.\log _{3} x-1\right\} \)...
2022-10-28Let \( f(x)=x^{2}+b x+c \) and \( g(x)=x^{2}+b_{1} x+c_{1} \). Let the real roots of \( f(x)=0 \...
2022-10-28Find the sum of \( n \) terms of the series \( (a+b)+\left(a^{2}+a b+b^{2}\right)+\left(a^{3}+a^...
2022-10-28Let \( -\frac{\pi}{6}\theta-\frac{\pi}{12} \). Suppose \( \alpha_{1} \) and \( \beta_{1} \) are ...
2022-10-28\( A B C \) is a right angled triangle in which \( \angle B=90^{\circ} \) and \( B C=a \). If \(...
2022-10-28The sum of all real values of \( x \) satisfying the equation \( \left(x^{2}-5 x+5\right)^{x^{2}...
2022-10-28If \( \alpha, \beta \) are the roots of the equation \( a x^{2}+b x+c=0 \) and \( \gamma, \delta...
2022-10-28Let \( S \) be the set of all non-zero real numbers \( \alpha \) such that the quadratic equatio...
2022-10-28If the equation \( x^{4}+p x^{3}+q x^{2}+r x+5=0 \) has four positive real roots, find the minim...
2022-10-28For what values of the parameter \( a \) the equation \( x^{4}+2 a x^{3}+x^{2}+2 a x+1=0 \) has ...
2022-10-28Sachin and Rahul attempted to solve a quadratic equation. Sachin made a mistake in writing down ...
2022-10-28Consider the polynomial \( f(x)=1+2 x+3 x^{2}+4 x^{3} \). Let \( s \) be the sum of all distinct...
2022-10-28Solve the system \( \left|x^{2}-2 x\right|+y=1, x^{2}+|y|=1 \)
2022-10-28If one root of the quadratic equation \( a x^{2}+b x+c=0 \) is equal to the \( n \)th power of t...


Tags:
pw