Home
Class 12
MATHS
If y = (x^(4)-x^(2)+1)/(x^(2)+sqrt(3)x+...

If `y = (x^(4)-x^(2)+1)/(x^(2)+sqrt(3)x+1)` and `(dy)/(dx)=ax+b` , then a - b = ?

A

`"cot"(pi)/(12)`

B

`"cot"(5pi)/(12)`

C

`"tan"(5pi)/(12)`

D

`"tan"(5pi)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integer Answers Type)|5 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Matrix Match Type)|2 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Short Answer Type Questions)|18 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot((5pi)/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

If y = f(x^2) and f'(x) = sqrt (3x^2+1) , find [(dy)/(dx)]_(x=2)

IF y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) , find [(dy)/(dx)]_(x=2) .

(dy)/(dx)=(y^(2)+y+1)/(x^(2)+x+1)

(dy)/(dx)=(y^(2)-y+1)/(x^(2)-x+1)

x(1-x^(2)) dy + (2x^(2)y-y-5x^(3)) dx = 0

xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4

If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) at x=2 is -

If y=(1)/(x^(4)+x^(2)+1) , then find dy/dx

If y = sqrt(x) + (1)/(sqrt(x)) prove that 2x(dy)/(dx) + y = 2sqrt(x)