If p,q,r,s are in A.P and f(x)=|p+sinxq+sinxp−r+sinxq+sinxr+sinx−1+sinxr+sinxs+sinxs−q+sinx| such that ∫02f(x)dx=−4 then the positive value of the common difference of the A.P is ____________________

use R2−R1,R3−R1 then put q=p+d,r=p+2d, s=p+3d⇒f(x)= det expansion = −2d2

Book Online Demo

Check Your IQ

Try Test

Courses

If p,q,r,s are in A.P and $f (x) = | \begin{matrix} p + \sin x & q + \sin x & p - r + \sin x \\ q + \sin x & r + \sin x & - 1 + \sin x \\ r + \sin x & s + \sin x & s - q + \sin x \end{matrix} |$ such that $\int_{0}^{2} f (x) d x = - 4$ then the positive value of the common difference of the A.P is ____________________

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 1.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

use $R_{2} - R_{1}, R_{3} - R_{1}$ then put $q = p + d, r = p + 2 d, s = p + 3 d$
$\Rightarrow f (x) =$ det expansion = $- 2 d^{2}$

Watch 3-min video & get full concept clarity