Home
Class 12
MATHS
Show that the curves x = y^2 and xy = k ...

Show that the curves `x = y^2` and `xy = k` cut at right angles; if `8k^2 = 1`

Text Solution

Verified by Experts

The correct Answer is:
1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 3 APPROXIMATE VALUES, DIFFERENTALS & ERRORS (SHORT ANSWER TYPE QUESTIONS - I )|14 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (SHORT ANSWER TYPE QUESTIONS - I )|1 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS-I)|2 Videos

  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

Similar Questions

Explore conceptually related problems

Prove that the curves x = y^(2) and xy = k cut at right angles* if 8k^(2) = 1 .

The angle between the curves y^(2) =x and x^(2) = y at (1,1) is

Knowledge Check

  • The curve x = y^(2) and xy = k cut at right angles if

    A
    `2k^(2) = 1`
    B
    `4k^(2) =1`
    C
    `6k^(2) =1`
    D
    `8k^(2) =1`

  • The curves x = y^(2) and xy = a^(3) cut orthogonally at a point, then a^(2) =

    A
    (1/3)
    B
    3
    C
    2
    D
    (1/2)

  • If the curves y^(2) = 16x and 9x^(2)+by^(2) =16 cut each other at right angles, then the value of b is

    A
    2
    B
    4
    C
    `9/2`
    D
    6

    • Similar Questions

    Explore conceptually related problems

    If theta is the angle between the curves xy = 2 and x^(2)+4y = 0 then tan theta =

    The lines joining the origin to the point of intersection of the curves x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)+2fy-c=0 are at right angles if

    The angle between the curves xy = 2 and y^2 = 4x at their point of intersection is

    The angle between the curves xy = 2 and y^(2) = 4x at their point of intersection is

    If the lines joining the origin to the points of intersection of the line 2x+y-1 =0 and the curve 3x^(2)+lambdaxy-4x+1=0 are at right angles then

    Home
    Profile