Home
Class 12
MATHS
The curves 2x^(2) + 3y^(2) = 1 and cx^(2...

The curves `2x^(2) + 3y^(2) = 1 and cx^(2) + 4y^(2) = 1` cut each other orthogonally then the value of c is:

A

`(1)/(3)`

B

3

C

`(5)/(12)`

D

`(12)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 7.10|20 Videos
  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

If the curves ax^(2) + by^(2) =1 and a_(1) x^(2) + b_(1) y^(2) = 1 intersect each other orthogonally then show that (1)/(a) - (1)/(b) = (1)/(a_(1)) - (1)/(b_(1))

If 4x^(2)+ py^(2) =45 and x^(2)-4y^(2) =5 cut orthogonally, then the value of p is

The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b) cut orthogonally intersect at 45^0 (d) intersect at 60^0

The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b) cut orthogonally intersect at 45^0 (d) intersect at 60^0

If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut orthogonally, then find the value of k .

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

If 4(x-sqrt2)^(2)-lambda(y-sqrt3)^(2)=45 and (x-sqrt2)^(2)-4(y-sqrt3)^(2)=5 cut orthogonally, then integral value of lambda is ________.

Show that x^(2) - y^(2) = a^(2) an dxy = c^(2) cut orthogonally

Find the area bounded by the curves (x -1)^(2) + y^(2) = 1 and x^(2) + y^(2) = 1 .

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
  1. The slope of the normal to the curve y = 3x^(2) at the point whose abs...

    Text Solution

    |

  2. The value of c is Rolle's theoram for the function f(x) = cos((x)/(2))...

    Text Solution

    |

  3. The curves 2x^(2) + 3y^(2) = 1 and cx^(2) + 4y^(2) = 1 cut each other ...

    Text Solution

    |

  4. The angle between y^(2) = x and x^(2) = y at the origin is

    Text Solution

    |

  5. The curve y=ax^3 + bx^2 + cx + d has a point of inflexion at x=1 , the...

    Text Solution

    |

  6. In a given semi circle of diameter 4 cm a rectangle is to be inscribed...

    Text Solution

    |

  7. underset(x rarr 0)(lim) (2x)/(tan 2x) is

    Text Solution

    |

  8. underset(x rarr 0)(lim) (a^(x) - b^(x))/(c^(x) - d^(x)) is

    Text Solution

    |

  9. If s = t^(3) - 4t^(2) + 7 the velocity when the acceleration is zero i...

    Text Solution

    |

  10. Which of the following functions is increasing in (0 , oo) ?

    Text Solution

    |

  11. The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = ...

    Text Solution

    |

  12. The stationary point of f(x) = x^((3)/(5)) (4 -x) occurs at x=

    Text Solution

    |

  13. The angle between the curve x^(2) - y^(2) = 8 and (x^(2))/(25) + (y^(2...

    Text Solution

    |

  14. The radius of a cylinder is increasing at the rate of 2 cm/sec and the...

    Text Solution

    |

  15. underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

    Text Solution

    |

  16. f is a differentiable function defined on an interval I with positive ...

    Text Solution

    |

  17. For what values of x the rate of increase of x^(3) - 2x^(2) + 3x + 8 i...

    Text Solution

    |

  18. The least possible perimeter of a rectangule of area 400 m^(2) is

    Text Solution

    |

  19. The equation of the normal to the curve y = x^(3) " at" (1, 1) is

    Text Solution

    |

  20. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

    Text Solution

    |