Home
Class 12
MATHS
If the curves y= a^(x) and y= b^(x) int...

If the curves `y= a^(x)` and `y= b^(x) ` intersect at an angle `alpha` , then the value of ` tan alpha ` is-

A

`(a-b)/(1+ ab) `

B

`(log a - log b)/(1+ log a log b) `

C

` (a+b)/(1-ab)`

D

`(log a + log b)/(1+ log a log b )`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 3|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

If x alpha 1/y then

If x+y alpha x-y then

Knowledge Check

  • If theta is the acute angle of intersection at a real point of intersection of the circle x^(2) + y^(2) =5 and the parabola y^(2)=4x , then the value of tan theta is-

    A
    1
    B
    `sqrt(3)`
    C
    `(1)/(sqrt(3))`
    D
    3
  • Similar Questions

    Explore conceptually related problems

    If x = m cosec alpha and y = n cot alpha , then the value of (x^2)/(m^2) - (y^2)/(n^2) is

    If the curve x^(2)+3y^(2)=9 subtends an obtuse angle at the point (2alpha, alpha) then a possible value of alpha^(2) is

    If x^2+y^2 alpha xy then show that x+y alpha x-y .

    Write True or False If x alpha y then x^n alpha y^n .

    If tan(A+B)=x and tan(A-B)=y find the value of tan2A.

    Consider the equation of a pair of straight lines as 2x^(2)-10xy+12y^(2)+5x-16y-3=0 . The point of intersection of lines is (alpha, beta) . Then the value of alpha beta is (a) 35 (b) 45 (c) 20 (d) 15

    Two tangents to the parabola y^(2)=4ax meet at an angle alpha . Prove that the locus of their of intersections, is y^(2)-4ax=(x+a)^(2) tan^(2) alpha