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

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 times of the other then

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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=2/9beta^2dot

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=2/9beta^2 .

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

Find the locus of point P, if two tangents are drawn from it to the parabola y ^(2) = 4x such that the slope of one tangent is three times the slope of other.

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

The locus of the point such that normals drawn at the point of contact of the tangents drawn from the point to the parabola, are such that the slope of one is double the slope of the other is : (A) y^2 = 9/2 ax (B) x^2 = 4ay (C) y^2 = 9/4 ax (D) x^2 = 9/4 ay

The angle between the tangents drawn from the point (4, 1) to the parabola x^(2)=4y is

Find the locus of the point from which the two tangents drawn to the parabola y^2=4a x are such that the slope of one is thrice that of the other.

Find the locus of the point from which the two tangents drawn to the parabola y^2=4a x are such that the slope of one is thrice that of the other.

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider three quadratic equations, x^2-2r pr x+r=0; r=1,2,3, Given ...

    Text Solution

    |

  2. ABC is an isosceles triangle inscribed in a circle of radius r , if AB...

    Text Solution

    |

  3. If two tangents drawn from the point (a,b) to the parabola y^2=4x be...

    Text Solution

    |

  4. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

    Text Solution

    |

  5. The maximum number of equivalence relations on the set A={1,\ 2,\ 3...

    Text Solution

    |

  6. If e, e' be the eccentricity of two conics S=0 and S'=0 and if e^2+e'^...

    Text Solution

    |

  7. Consider : Statement I: (p^^~q)^^(~p^^q) is a fallacy Statement ...

    Text Solution

    |

  8. If az^(2)+bz+1=0 where a,b, in C and |a|=(1)/(2) have a root alpha suc...

    Text Solution

    |

  9. If (1+x^2)(dy)/(dx)=x(1-y),y(0)=4/3, then the value of y(8)+8/9 is

    Text Solution

    |

  10. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  11. Solve : (dz)/(dx)+z/(x logz)=z/((x^2)(logz)^2dot) a. 1/(x logz)=1/(2...

    Text Solution

    |

  12. Find the number of positive integers n such that 105 is a divisor of n...

    Text Solution

    |

  13. Number of five digit integers, with sum of the digits equal to 43 are ...

    Text Solution

    |

  14. Show that the area of triangle inscribed in an ellipse bears a constan...

    Text Solution

    |

  15. Principle Argument of z=(2+i)/((1+i)^(200)(1-2i)) is 1dot-pi/4 2. p...

    Text Solution

    |

  16. The equation of a tangent parallel to y=x drawn to (x^2)/3 - (y^2)/2=1...

    Text Solution

    |

  17. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |

  18. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whic...

    Text Solution

    |

  19. Let P1 denote the equation of a plane to which the vector ( hat i+ ...

    Text Solution

    |

  20. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

    Text Solution

    |