Home
Class 12
MATHS
If the tangent to the curve y^(2) = x^(3...

If the tangent to the curve `y^(2) = x^(3) ` at the point `(m^(2), m^(3))` is also the normal to the curve at `(M^(2), M^(3))` , then the value of mM is-

A

`-(4)/(9)`

B

`-(1)/(3)`

C

`-(2)/(9)`

D

`-(1)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 7|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 5|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is

The slope of the tangent to the curve (y-x^(5))^(2)=x(1+x^(2))^(2) at the point (1, 3) is

If the tangent at any point P(4m^(2),8m^(3)) of x^(3)-y^(2)=0 normal also to the curve x^(3)-y^(2)=0 , then the value of m is-

The equation of the tangent to the curve y^(2)=ax^(3)+b at the point (2,3) on it is y=4x-5 , find a and b.

If the tangent to the curve x^(3)+y^(3)=a^(3) at the point (x_(1),y_(1)) intersects the curve again at the point (x_(2),y_(2)) , then show that, (x_(2))/(x_(1))+(y_(2))/(y_(1))+1=0 .

If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to the curve x^3-y^2=0 , then find the value of mdot

If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to the curve x^3-y^2=0 , then find the value of mdot

If the equation of the tangent to the curve y^2=a x^3+b at point (2,3) is y=4x-5 , then find the values of a and b .

If x+4y=14 is a normal to the curve y^2=ax^3 -beta at (2,3) then value of alpha+beta is

Show that the tangents to the curve y=x^2-5x+6 at the point (2,0) and (3,0) are at right angle.

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 6
  1. If theta is the acute angle of intersection at a real point of inter...

    Text Solution

    |

  2. The area (in square unit ) of the triangle bounded by the lines y=2 ,...

    Text Solution

    |

  3. If the tangent to the curve y^(2) = x^(3) at the point (m^(2), m^(3)...

    Text Solution

    |

  4. If A is the area of the region bounded by the curve y= sqrt(3x + 4) ,...

    Text Solution

    |

  5. The locus of a point P ( alpha , beta ) moving under the condition t...

    Text Solution

    |

  6. The curves y= sin x and y= cos x intersect infinitely many times g...

    Text Solution

    |

  7. From a point (d, 0) three normals are drawn to the parabola y^(2)=x, t...

    Text Solution

    |

  8. The condition that the line ax + by + c =0 is a tangent to the parab...

    Text Solution

    |

  9. The normal to the curve x= a ( cos theta + theta sin theta ) , y= a( ...

    Text Solution

    |

  10. If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also...

    Text Solution

    |

  11. The parabolas y^(2)= 4x and x^(2) = 4y divide the square region boun...

    Text Solution

    |

  12. The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

    Text Solution

    |

  13. If f(x) = x^(3) - 6x^(2) + 9x +3 be a decreasing function, then x lie...

    Text Solution

    |

  14. The minimum value of the function f(theta) = 6 cos theta + 8 sin theta...

    Text Solution

    |

  15. The abscissa of the point on the parabola y^(2) = 2px which is neare...

    Text Solution

    |

  16. The value of a for which the function (a+2)x^(3) - 3ax^(2) + 9ax -1 de...

    Text Solution

    |

  17. A minimum value of the function f(x) = int(0)^(x) te^(-t^(2))dt is-

    Text Solution

    |

  18. If f(x)= x^(3) + ax^(2) + bx + c is an increasing function for all re...

    Text Solution

    |

  19. The area ( in square unit ) in the first quadrant bounded by the parab...

    Text Solution

    |

  20. The slope of the tangent at (x, y) to a curve passing through (1, (pi...

    Text Solution

    |