Home
Class 12
MATHS
If the curves y^2=6x, 9x^2+by^2=16 inter...

If the curves `y^2=6x`, `9x^2+by^2=16` intersect each other at right angles then the value of b is: (1) 6 (2) `7/2` (3) `4` (4) `9/2`

A

4

B

`(9)/(2)`

C

6

D

`(7)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-3 Part I|27 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

If curves y^2=6x and 9x^2+by^2=16 intersect orthogonally, then b is equal to

If the curves (x^(2))/(alpha)+(y^(2))/(4)=1 and y^(2)=16x intersect at right angles,then a value of alpha is

If the curve ax^(2) + 3y^(2) = 1 and 2x^2 + 6y^2 = 1 cut each other orthogonally then the value of 2a :

Prove that the curves x^(2)-y^(2)=16 and xy = 15 intersect each other at 90^(@) angle.

If the curves x^(2)/a^(2)+ y^(2)/4 = 1 and y^(3) = 16x intersect at right angles, then a^(2) is equal to

If the curves 2x^(2)+3y^(2)=6 and ax^(2)+4y^(2)=4 intersect orthogonally, then a =

If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x intersect at right angles, then the value of a^(2) is equal to

If the curves (x ^(2))/(a ^(2)) + (y ^(2))/(12) =1 and y ^(3) =8x intersect at right angles, then the value of a ^(2) is equal to

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-3 Part II
  1. Let f : R to R be defined by if (x)= {underset(2x + 3 " ", " "i...

    Text Solution

    |

  2. Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...

    Text Solution

    |

  3. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

    Text Solution

    |

  4. Let f be a function defined by - f(x) ={underset(1" "," ...

    Text Solution

    |

  5. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  6. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  7. Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""...

    Text Solution

    |

  8. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  9. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  10. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

    Text Solution

    |

  11. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  12. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  13. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  14. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |

  15. The radius of a circle, having minimum area, which touches the curv...

    Text Solution

    |

  16. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  17. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |

  18. Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C b...

    Text Solution

    |

  19. A helicopter flying along the path y=7+x^((3)/(2)), A soldier standint...

    Text Solution

    |

  20. Let f(x) = (x)/(sqrt(a^(2)+x^(2))=((d-x))/(sqrt(b^(2)+(d-x)^(2)) x in ...

    Text Solution

    |