Home
Class 12
MATHS
If the tangent at P of the curve y ^(2) ...

If the tangent at P of the curve `y ^(2) =x ^(3)` intersects the curve again at Q and the straight line OP, OQ have inclinations a,b where O is origin, then `((tan alpha )/( tan beta))` has the value, equals to:

A

`-1`

B

`-2`

C

2

D

`sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )|29 Videos

  • APPLICATION OF DERIVATIVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|15 Videos

  • AREA UNDER CURVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

If the tangentat P of the curve y^2 = x^3 intersect the curve again at Q and the straigta line OP, OQ have inclinations alpha and beta where O is origin, then tanalpha/tan beta has the value equals to

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q. Find coordinates of Q.

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of P .

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of Pdot

If the tangent to the curve 4x^(3)=27y^(2) at the point (3,2) meets the curve again at the point (a,b) . Then |a|+|b| is equal to -

If the tangent at P(1,1) on the curve y^(2)=x(2-x)^(2) meets the curve again at A , then the points A is of the form ((3a)/(b),(a)/(2b)) , where a^(2)+b^(2) is

If the normals to the parabola y^2=4a x at P meets the curve again at Q and if P Q and the normal at Q make angle alpha and beta , respectively, with the x-axis, then t a nalpha(tanalpha+tanbeta) has the value equal to 0 (b) -2 (c) -1/2 (d) -1

If the normals to the parabola y^2=4a x at P meets the curve again at Q and if P Q and the normal at Q make angle alpha and beta , respectively, with the x-axis, then t a nalpha(tanalpha+tanbeta) has the value equal to 0 (b) -2 (c) -1/2 (d) -1

The slope of the tangent to the curve y=x^(2) -x at the point where the line y = 2 cuts the curve in the first quadrant, is

If the curves y= a^(x) and y=e^(x) intersect at and angle alpha, " then " tan alpha equals

VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. If the tangent at P of the curve y ^(2) =x ^(3) intersects the curve a...

    Text Solution

    |

  2. A conical vessel is to be prepared out of a circular sheet of metal of...

    Text Solution

    |

  3. On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...

    Text Solution

    |

  4. If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...

    Text Solution

    |

  5. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

    Text Solution

    |

  6. Find sum of all possible values of the real parameter 'b' if the diffe...

    Text Solution

    |

  7. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

    Text Solution

    |

  8. Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...

    Text Solution

    |

  9. Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...

    Text Solution

    |

  10. There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...

    Text Solution

    |

  11. If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...

    Text Solution

    |

  12. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

    Text Solution

    |

  13. The numbr of real roots of the equation x ^(2013)+ e ^(20144x) =0 is

    Text Solution

    |

  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  15. The least positive vlaue of the parameter 'a' for which there exist at...

    Text Solution

    |

  16. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

    Text Solution

    |

  17. A tank contains 100 litres of fresh water. S solution containg 1 gm/li...

    Text Solution

    |

  18. If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...

    Text Solution

    |

  19. It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...

    Text Solution

    |

  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

    Text Solution

    |

  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

    Text Solution

    |