Home
Class 11
MATHS
If x+y=k is normal to y^2=12 x , then k ...

If `x+y=k` is normal to `y^2=12 x ,` then `k` is (a)3 (b) 9 (c) `-9` (d) `-3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If x + y = k is a normal to the curve y^(2) = 12 x , then k is equal to

If 2x +3y = alpha, x -y = beta and kx +15y = r are 3 concurrent normal of parabola y^(2) = lambda x then value of k is (a) 3 (b) 4 (c) 5 (d) 7

Which of the following line can be normal to parabola y^2=12 x ? (a) x+y-9=0 (b) 2x-y-32=0 (c) 2x+y-36=0 (d) 3x-y-72=0

The sum of the coefficients in the terms of 2x^2y-3x y^2+4x y is (a) -3 (b) 3 (c) 9 (d) 5

If (x+y)^3-\ (x-y)^3-6y\ (x^2-y^2)=\ k y^3, then k= (a)1 (b) 2 (c) 4 (d) 8

The function f(x)={((sin3x)/x ,x!=0),(k/2,x=0):} is continuous of x=0,t h e nk= (a) 3 (b) 6 (d) 9 (d) 12

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) 4 (b) 6 (c) 3 (d) 2

The normal to the parabola y^2 = -4ax from the point (5a, 2a) are (A) y=x-3a (B) y=-2x+12a (C) y=-3x+33a (D) y=x+3a

if (log)_y x+(log)_x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) 15 (d) 30

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) (a) 4 (b) 6 (c) 3 (d) 2

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The line x-y-1=0 meets the parabola y^2 = 4x at A and B. Normals at ...

    Text Solution

    |

  2. If normal are drawn from a point P(h , k) to the parabola y^2=4a x , t...

    Text Solution

    |

  3. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  4. An equilateral triangle S A B is inscribed in the parabola y^2=4a x ...

    Text Solution

    |

  5. min[(x1-x2)^2+(5+sqrt(1-x1^2)-sqrt(4x2))^2],AAx1,x2 in R , is (a)4sqr...

    Text Solution

    |

  6. The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a)x=-1...

    Text Solution

    |

  7. The equation of the common tangent touching the circle (x-3)^2+y^2=9 ...

    Text Solution

    |

  8. At what point on the parabola y^2=4x the normal makes equal angle with...

    Text Solution

    |

  9. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |

  10. If the normals to the parabola y^2=4a x at three points P ,Q ,a n dR m...

    Text Solution

    |

  11. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  12. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

    Text Solution

    |

  13. Statement 1: The line y=x+2a touches the parabola y^2=4a(x+a) Stateme...

    Text Solution

    |

  14. Consider a circle with its centre lying on the focus of the parabola, ...

    Text Solution

    |

  15. Normal drawn to y^2=4a x at the points where it is intersected by the...

    Text Solution

    |

  16. The radius of the circle touching the parabola y^2=x at (1, 1) and ha...

    Text Solution

    |

  17. Maximum number of common normals of y^2=4ax and x^2=4by is

    Text Solution

    |

  18. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

    Text Solution

    |

  19. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

    Text Solution

    |

  20. A ray of light travels along a line y=4 and strikes the surface of cur...

    Text Solution

    |