Home
Class 12
MATHS
Consider the curve y = tan^(-1) x " and...

Consider the curve ` y = tan^(-1) x " and a point "A ( 1 , pi/4)` on it. If the variable point ` P_(i)(x_(i) , y_(i))` moves on the curve for ` i = 1,2,3 , …. N ( n in N) " such that " y_(i) = sum_(m=1)^(i) tan ^(-1) ( 1/( 2 m^(2))) ` and `B ( x,y)` be the limiting position of variable point `P_(n) " as " n to infty`, then the value of reciprocal of the slope of `AB` will be ____

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Examples|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with y-axis, then the value of tan theta is

Prove that the curves y^2 = 4x and x^2 + y^2 - 6x + 1 = 0 touch each other at the point (1,2)

The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

y=tan^(- 1)sqrt((1-x)/(1+x))f i n d(dy)/(dx)

If tan^-1 x + tan^-1 y = (4pi)/5 , then cot^-1 x + cot^-1 y equals

If I_n=int_0^(pi/4) tan^n x dx , ( n > 1 and is an integer), then