Home
Class 12
MATHS
Normals are drawn from a point P with sl...

Normals are drawn from a point P with slopes `m_1,m_2 and m_3` are drawn from the point p not from the parabola `y^2=4x`. For `m_1m_2=alpha`, if the locus of the point P is a part of the parabola itself, then the value of `alpha` is (a) 1 (b)-2 (c) 2 (d) -1

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Three normals with slopes m_(1),m_(2) and m_(3) are down from a point P not on the axis of the axis of the parabola y^(2)=4x. If m_(1)m_(2)=alpha, results in the locus of P being a part of parabola,Find the value of alpha

If two tangents drawn from a point P to the parabola y^(2)=16 (x-3) are at right angles, then the locus of point P is :

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is

Number of normals can be drawn from point (1,2) on the parabola y^(2)=12x

Normals are drawn from the interior point P to the parabola y^(2)=4x such that product of two slope is alpha , if locus of P is parabola itself then alpha is _________

Normals are drawn at points A,B, and C on the parabola y^(2)=4x which intersect at P.The locus of the point P if the slope of the line jocuing the feet of two of them is 2, is

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

RESONANCE DPP-JEE MAINS-All Questions
  1. Domain of the function f(x)=sqrt(2-sec^(-1)x) is

    Text Solution

    |

  2. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  3. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

    Text Solution

    |

  4. If (b+c-a)/a,(c+a-b)/b,(a+b-c)/c are in A.P. Prove that 1/a,1/b,1/c a...

    Text Solution

    |

  5. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

    Text Solution

    |

  6. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

    Text Solution

    |

  7. The number of real tangents that can be drawn to the ellipse...

    Text Solution

    |

  8. The curve represented by x=2(cost+sint) and y = 5(cos t-sin t ) is

    Text Solution

    |

  9. Set of value of m for which a chord of slope m of the circle x^2+y^2=4...

    Text Solution

    |

  10. int(3x^2+2x)/(x^6+2x^5+x^4+2x^3+2x^2+5) dx=F(x) Fidn the value of [F(1...

    Text Solution

    |

  11. If f(x)=int0^x(sint)/t dt ,x >0, then (a)f(x) has a local maxima...

    Text Solution

    |

  12. If P(A/C) gt P(B/C) and P(A/(bar C)) gt P(B/(bar C)), then the relatio...

    Text Solution

    |

  13. The value of int((x^(2)+1))/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x)))dx wil...

    Text Solution

    |

  14. The value of int(-a)^a(cos^(- 1)x-sin^(- 1)sqrt(1-x^2))dx is (a>0) t...

    Text Solution

    |

  15. The value of the integral int0^2("log"(x^2+2))/((x+2)^2)dx is (sqrt(2)...

    Text Solution

    |

  16. If int1/(("s i n x"+4)("sin"-1))"dx"="A"/(tan"x"/2-1)+"B t a n"^(-1)"f...

    Text Solution

    |

  17. If 4- horses participate in race. The number of ways in which they can...

    Text Solution

    |

  18. The exact value of cos((2pi)/28)cosec((3pi)/28)+cos((6pi)/28)cosec((9p...

    Text Solution

    |

  19. Let f be a function satisfying the functional rule 2f(x)+f(1-x)=xAA...

    Text Solution

    |

  20. Consider set A = { 1,2,3}. Number of symmetric relations that can be ...

    Text Solution

    |