Home
Class 12
MATHS
Find the points on the curve x y+4=0 ...

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

Text Solution

Verified by Experts

The correct Answer is:
Point`(x_{1}, y_{1})=(2,-2)`
Let the required point be `(x_{1}, y_{1})`.
Slope of the tangent at point `=\tan 45^{\circ}`

ATQ:
`x y+4=0 . .(1)`
As point fulfills the above equation, then
`x_{1} y_{1}+4=0 . \ldots(2)`

On differentiating eq (2) both sides with respect to `x`, we get $$ ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA|Exercise Solved Examples And Exercises|134 Videos

  • THE PLANE

    RD SHARMA|Exercise Solved Examples And Exercises|301 Videos

Similar Questions

Explore conceptually related problems

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

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

Knowledge Check

  • Find the point on the curve y=x^(2)+1 at which the tangent drawn makes an angle of 45^(@) from X-axis.

    A
    `(1/2,5/4)`.
    B
    `(1/2,3/4)`.
    C
    `(-1/2,5/4)`.
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Find the point on the curve y^(2) = x at which the tangent drawn makes an angle of 45^(@) from X-axis.

    Find the point on the curve y=3x^(2)-9x+8 at which the tangents are equally inclined with the axes.

    Find the point on the curve y=x^(2)-x-8 at which the tangent is parallel to a-axis.

    Find the point on the curve y=2x^2-6x-4 at which the tangent is parallel to the x-axis.

    Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents are parallel to the x-axis.

    Find the point on the curve y=x^(3)-3x at which tangent is parallel to X-axis.

    Find the point on the curve y = 2x^(2) - 6x - 4 at which the tangent is parallel to the x-axis

    Home
    Profile