Home
Class 12
MATHS
If two tangents drawn from the point P (...

If two tangents drawn from the point P (h,k) to the parabola `y^2=8x` are such that the slope of one of the tangent is 3 times the slope of the other , then the locus of point P is

A

`3y^2=16x`

B

`3y^2=8x`

C

`y^2=32x`

D

`3y^2=32x`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 23

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 26

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If two tangents drawn from the point (a,b) to the parabola y^(2)=4x be such that the slope of one tangent is 3 xx of the other then

If two tan two tangents drawn from the point (a,b) to the parabola y 4x be such that the slope of one tangent is 3 xx of the other then

If two tangents drawn from (a ,b) to the parabola y^(2)=4x are such that slope of one of the tangent is double the other then (9a)/(b^(2)) is

If two tangents drawn from the point (alpha,beta) to the parabola y^(2)=4x are such that the slope of one tangent is double of the other,then prove that alpha=(2)/(9)beta^(2).

The slopes of tangents drawn from a point (4,10) to parabola y^(2)=9x are

NTA MOCK TESTS-JEE MOCK TEST 24-MATHS
  1. If n objects are arrange in a row, then the number of ways of select...

    Text Solution

    |

  2. Solve sin^(-1)(1-x)-2s in^(-1)x=pi/2

    Text Solution

    |

  3. If 1 , a, b and 4 are in harmonic progression , then the value of a + ...

    Text Solution

    |

  4. fractional part of 2^(78) /31 is:

    Text Solution

    |

  5. Let f (x) = 10 - |x-5| , x in R, then the set of all values of x at wh...

    Text Solution

    |

  6. If two tangents drawn from the point P (h,k) to the parabola y^2=8x ar...

    Text Solution

    |

  7. If I(1)=overset(k)underset(1-x)int x sin{x(1-x)}dx and I(2)=overset(k)...

    Text Solution

    |

  8. Let A is a matrix of order 3xx3 defined as A=[a(ij)]3xx3, where a(ij)...

    Text Solution

    |

  9. If [(veca+2vecb+3vecc)xx(vecb+2vecc+3veca)],.(vecc+2veca+3vecb)]=54 w...

    Text Solution

    |

  10. Let A be the point (1,2,3) and B be a point on the line (x-1)/-2=(y+1)...

    Text Solution

    |

  11. Let the circumcentre of DeltaABC is S (-1,0) and the midpoints of side...

    Text Solution

    |

  12. If p and q are two statements , then which of the following statements...

    Text Solution

    |

  13. Let F(n)=(sin1)xx(sin2)xx....sin(n),AA"n"in"N" then number of element...

    Text Solution

    |

  14. a,b,c,in N and d = |{:(a,b,c),(c,a,b),(b,c,a):}| , then the least posi...

    Text Solution

    |

  15. F:RrarrR,F(x)=lamdax+sinx is onto if lamda is an element of the set P ...

    Text Solution

    |

  16. Consider circles C1 & C2 touching both the axes and passing through (4...

    Text Solution

    |

  17. If P (z) is a variable point in the complex plane such that IM (-1/z)=...

    Text Solution

    |

  18. The probability of lndia winning a test match against Australia is 1/4...

    Text Solution

    |

  19. The number of solutions of the equation |cot x|=cotx+"cosec"x in [0,1...

    Text Solution

    |

  20. If alpha is the only real root of x^3+bx^2+cx+1=0(bltc) , then the va...

    Text Solution

    |