Home
Class 11
MATHS
ਮੁੱਲ ਪਤਾ ਕਰੋ:-(a^2+ sqrt(a^2-1))^4 + (a^...

ਮੁੱਲ ਪਤਾ ਕਰੋ:-`(a^2+ sqrt(a^2-1))^4 + (a^2- sqrt(a^2-1))^4`

Text Solution

Verified by Experts

The correct Answer is:
`2a^(8) + 12a^(6) - 10a^(4) - 4a^(2) +2`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |14 Videos
  • BINOMIAL THEOREM

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |14 Videos
  • COMPLEX NUMBER AND QUADRATIC EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|25 Videos

Similar Questions

Explore conceptually related problems

Find the value of (a^2+ sqrt(a^2-1))^4 + (a^2- sqrt(a^2-1))^4 .

int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1))/(x^3)+C (b) (sqrt(2x^4-2x^2+1))/x+C (c) (sqrt(2x^4-2x^2+1))/(x^2)+C (d) (sqrt(2x^4-2x^2+1))/(2x^2)+C

If y = tan^(-1)((sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(1 - x^2))) , then show that (dy)/(dx) = x/(sqrt(1 - x^4))

Evaluate the following limit : lim_(x rarr oo)(sqrt(3x^2-1)+ sqrt (2x^2-1))/(4x+3) .

Differentiate tan^-1{( sqrt (1+x^2) +sqrt (1-x^2))/ (sqrt(1+x^2)-sqrt(1-x^2))} w.r.t.x

(sqrt(2) + 1)^(6) - (sqrt(2) -1)^(6) is equal to

Prove that : tan^-1[(sqrt(1+x^2) - sqrt(1-x^2))/(sqrt1+x^2 + sqrt(1-x^2))] = pi/4 - 1/2cos^-1x^2

Show that: tan^(-1)[(sqrt(1+x^(2)) + sqrt(1-x^(2)))/(sqrt(1 +x^(2))- sqrt(1-x^(2)))]=pi/4 +1/2 cos^(-1) x^(2), -1 lt x lt 1

Differentiate sin^(-1)(2a xsqrt(1-a^2x^2)) with respect to sqrt(1-a^2x^2) , if -1/(sqrt(2)) < ax<1/(sqrt(2)) .