Home
Class 12
MATHS
If te curves 2x=y^(2) and 2xy=K intersec...

If te curves `2x=y^(2) and 2xy=K` intersect perpendicularly, then the value of `K^(2)` is

A

8

B

4

C

`2sqrt2`

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • MODEL TEST PAPER - 1

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If two tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 intersect perpendicularly at P, then the locus of P is a circle x^(2)+y^(2)=a^(2)+b^(2) . The circle is called

The equation of a circle C_1 is x^2+y^2= 4 . The locus of the intersection of orthogonal tangents to the circle is the curve C_2 and the locus of the intersection of perpendicular tangents to the curve C_2 is the curve C_3 , Then

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

If the planes x + 2y + kz = 0 and 2x+y - 2z = 0 are at rt. angles, then the value of k is:

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

If the lines 2x+y-3=0,5k+ky-3=0 and 3x-y-2=0 are concurrent ,find the value of K ?

If x^(2)-k x y-y^(2)+2 y+2=0 represents a pair of lines than the value of k is

If x-2y = 4, then the minimum value of xy is

If the circles x^2+y^2+2x+2ky + 6=0 and x^2+y^2+2ky+k=0 intersect orthogonally , then k is :

KCET PREVIOUS YEAR PAPERS-MATHEMATICS-MCQs
  1. The right hand and left hand limit of the function f(x)={{:((e^(1//x)-...

    Text Solution

    |

  2. If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) is

    Text Solution

    |

  3. If te curves 2x=y^(2) and 2xy=K intersect perpendicularly, then the va...

    Text Solution

    |

  4. If (xe)^(y)=e^(x), then (dy)/(dx) is

    Text Solution

    |

  5. If y=2^(n+1)+(3)/(x^(n)), then x^(2)(d^(2)y)/(dx^(2)) is

    Text Solution

    |

  6. The value of int(1+x^(4))/(1+x^(5))dx is

    Text Solution

    |

  7. The maximum value of (log(e)x)/(x), if x gt0

    Text Solution

    |

  8. If the side of a cube is increased by 5%, then the surface area of a c...

    Text Solution

    |

  9. The value of int(-(1)/(2))^((1)/(2))cos^(-1)xdx is

    Text Solution

    |

  10. If int(2x+1)/((x-1)(x-2)(x-3))dx-Alog|x-1|+Blog|x-2|+Clog|x-3|+C, then...

    Text Solution

    |

  11. The value of inte^(sinx) sin2xdx is

    Text Solution

    |

  12. The area of the region bounded by the curve y^(2)=8x and the line y=2x...

    Text Solution

    |

  13. The value of int(-(pi)/(2))^((pi)/(2))(cosx)/(1+e^(x))dx is

    Text Solution

    |

  14. The value of int(0)^(1)(log(1+x))/(1+x^(2))dx is

    Text Solution

    |

  15. The general solution of the differential equation x^(2)dy-2xydx=x^(4)c...

    Text Solution

    |

  16. The area of the region bounded by the lines y=2x+1, x - axis and the o...

    Text Solution

    |

  17. The order of the differential equation obtained by eliminating arbitra...

    Text Solution

    |

  18. If veca and vecb are unit vectors and theta is the angle between veca ...

    Text Solution

    |

  19. The curve passing through the point (1, 2) given that the slope of the...

    Text Solution

    |

  20. The two vectors hati+hatj+hatk and hati+3hatj+5hatk represent the two ...

    Text Solution

    |