Home
Class 12
MATHS
A line is drawn from A(-2,0) to intersec...

A line is drawn from A(-2,0) to intersect the curve `y^2 = 4x` in P and Q in the first quadrant such that `1/(AP) + 1/ (AQ) < 1/4`, then slope of the line always be :

A

`lt1/sqrt3`

B

`gt1/sqrt3`

C

`gtsqrt2`

D

`gtsqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

A line is drawn form A(-2,0) to intersect the curve y^(2)=4x at P and Q in the first quadrant such that (1)/(AP)+(1)/(AQ) sqrt(3)(B) sqrt(2)(D)>(1)/(sqrt(3))

A line ax +by +c = 0 through the point A(-2,0) intersects the curve y^(2)=4a in P and Q such that (1)/(AP) +(1)/(AQ) =(1)/(4) (P,Q are in 1st quadrant). The value of sqrt(a^(2)+b^(2)+c^(2)) is

The area bounded by the curve y^(2)=9x and the lines x=1,x=4 and y=0, in the first quadrant,is

Find the area bounded by the curve y=4x^(2),x=0,x=1 and y=4 in first quadrant.

Consider a curve ax^(2)+2hxy+by^(2)-1=0 and a point P not on the curve.A line is drawn from the point P intersects the curve at the point Q and R.If the product PQ.PR is independent of the s[ope of the line,then the curve is:

The acute angle of intersection of the curves x^(2)y=1 and y=x^(2) in the first quadrant is theta , then tan theta is equal to

Let the line y = mx intersects the curve y^2 = x at P and tangent to y^2 = x at P intersects x-axis at Q. If area ( triangle OPQ) = 4, find m (m gt 0) .

Consider the curves C_(1):|z-2|=2+Re(z) and C_(2):|z|=3 (where z=x+iy,x,y in R and i=sqrt(-1) .They intersect at P and Q in the first and fourth quadrants respectively.Tangents to C_(1) at P and Q intersect the x- axis at R and tangents to C_(2) at P and Q intersect the x -axis at S .If the area of Delta QRS is lambda sqrt(2) ,then find the value of (lambda)/(2)

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  2. If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be...

    Text Solution

    |

  3. Length of the shortest normal chord of the parabola y^2=4ax is

    Text Solution

    |

  4. The largest value of a for which the circle x^2 +y^2 = a^2 falls total...

    Text Solution

    |

  5. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  6. If two different tangents of y^2=4x are the normals to x^2=4b y , then

    Text Solution

    |

  7. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  8. Normals at two points (x1,x2) and (x2,y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  9. A line is drawn from A(-2,0) to intersect the curve y^2 = 4x in P and ...

    Text Solution

    |

  10. An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...

    Text Solution

    |

  11. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

    Text Solution

    |

  12. Let S be the focus of y^2=4x and a point P be moving on the curve such...

    Text Solution

    |

  13. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |

  14. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

    Text Solution

    |

  15. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  16. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...

    Text Solution

    |

  17. If the fourth term in the expansion of (px+1/x)^n is 5/2, then (n,p)...

    Text Solution

    |

  18. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

    Text Solution

    |

  19. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

    Text Solution

    |

  20. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

    Text Solution

    |