Home
Class 12
MATHS
If the tangent to the curve xy+ax+by=0at...

If the tangent to the curve `xy+ax+by=0at (1,1)` is inclined at an angle `tan^(-1)2` with x-axis, then find a and b?

Text Solution

Verified by Experts

The correct Answer is:
(i) a=1, b=-2 (ii) 1
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1B|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1C|4 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Self Practice Problems|36 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an angle tan^(-1)2 with x-axis, then find a and b ?

If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an angle tan^(-1)2 with x-axis, then find aa n db ?

The tangent to the curve y = e^(2x) at (0,1) meets the x-axis at

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45^0 with the x- axis .

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45^@ with the x-axis.

Find the equations of the tangents to the circle x^(2) + y^(2) = 25 inclined at an angle of 60^(@) to the x-axis.

If the line ax+by+c=0 is a tangent to the curve xy=9, then

The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x+3y) with x-axis. Find the equation of the curve if it passes through (1,2).

Transform 12x^(2)+7xy-12y^(2)-17x-31y-7=0 to rectangular axes through the point (1, -1) inclined at an angle tan^(-1)((4)/(3)) to the original axes.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.