Home
Class 11
MATHS
ax+b(sec(tan^(-1)x))=c and ay+b(sec(tan^...

`ax+b(sec(tan^(-1)x))=c and ay+b(sec(tan^(-1)y))=c`
The value of xy is

A

`(2ab)/(a^(2)-b^(2))`

B

`(c^(2)-b^(2))/(a^(2)-b^(2))`

C

`(c^(2)-b^(2))/(a^(2)+b^(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL - II INTEGER TYPE QUESTIONS)|5 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)|21 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL - II MATRIX MATCHING TYPE QUSTIONS)|1 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

sec(tan^(-1) y/2) =

sec ("tan"^(-1) y/2)=

Knowledge Check

  • ax+b(sec(tan^(-1)x))=c and ay+b(sec(tan^(-1)y))=c The value of x+y is

    A
    `(2ac)/(a^(2)-b^(2))`
    B
    `(c^(2)-b^(2))/(a^(2)-b^(2))`
    C
    `(c^(2)-b^(2))/(a^(2)+b^(2))`
    D
    None of these
  • ax+b(sec(tan^(-1)x))=c and ay+b(sec(tan^(-1)y))=c The value of x + y is

    A
    `(2ac)/(a^(2)-b^(2))`
    B
    `(c^(2)-b^(2))/(a^(2)-b^(2))`
    C
    `(c^(2)-b^(2))/(a^(2)+b^(2))`
    D
    none of these
  • ax+b(sec(tan^(-1)x))=c and ay+b(sec(tan^(-1)y))=c The value of (x+y)/(1-xy) is

    A
    `(2ab)/(a^(2)-c^(2))`
    B
    `(2ac)/(a^(2)-c^(2))`
    C
    `(c^(2)-b^(2))/(a^(2)+b^(2))`
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    Let x,y be real members such that x ne y and xy ne1 . If ax + b sec (tan^(-1)x)=c and ay+ b sec (tan^(-1)y) =c," then "(x+y)/(1-xy)=

    sec^(2)A tan^(2) B-tan^(2)A sec^(2) B=

    Let a=cos^(-1)cos20, b=cos^(-1)cos30, c=sin^(-1)sin(a+b) then If 5sec^(-1)x+10sin^(-1)y=10(a+b+c) then the value of tan^(-1)x+cos^(-1)(y-1) is

    (sec A + tan A -1) (sec A - tan A+1)=

    If y = sec (Tan ^(-1) x), then (dy)/(dx) at x =1 is equal to