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

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

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

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))/(4)= 1 and y ^(3)= 16x intersect at right angles, then:

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

If the tangents drawn through the point (1, 2 sqrt(3) to the ellipse x^2/9 + y^2/b^2 = 1 are at right angles, then the value of b is (A) 1 (B) -1 (C) 2 (D) 4

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value of 'a' is

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

Find the value of p for which curves x^2=9p(9-y) and x^2=p(y+1) cut each other at right angles.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Main (Archive)
  1. A wire of the length 2 units is cut into two parts which are bent resp...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If f and g are diferentiable functions in [0,1] satisfying f(0) =2=g(1...

    Text Solution

    |

  5. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

    Text Solution

    |

  6. The intercepts on x- axis made by tangents to the curve, y=int(0)^(x)|...

    Text Solution

    |

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

    Text Solution

    |

  8. Let a , b in R be such that the function f given byf(X) = ln |x|+bx^(2...

    Text Solution

    |

  9. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  10. Let f : R to [0,oo)" be such that "underset(x to 5)lim f(x)" exists an...

    Text Solution

    |

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

    Text Solution

    |

  12. Let f:BrarrRbe difined by f(x) ={{:(k-2x,ifxle-1),(2x+3, if gt -1):...

    Text Solution

    |

  13. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only rea...

    Text Solution

    |

  14. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  15. How many real solutions does the equation x^(7)=14x^(5)+16x^(3)+30x-56...

    Text Solution

    |

  16. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  17. A value of C for which the coclusion of mean value theorem holds for t...

    Text Solution

    |

  18. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  19. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  20. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |