Home
Class 12
MATHS
Consider the parabola y^(2)=4x. Let P an...

Consider the parabola `y^(2)=4x`. Let P and Q be points on the parabola wher `P(4,-4)andQ(9,6)`. Let R be a point on the area of the parabola between P and Q. Then the area of `DeltaPQR` is largest when

A

`anglePQR=90^(@)`

B

R(4,4)

C

`R((1)/(4),1)`

D

`(1,(1)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixed points on the parabola. Let C be a moving point on the parabola between Aa n dB such that the area of the triangle A B C is maximum. Then the coordinates of C are

Consider the parabola x^(2) +4y = 0 . Let P(a,b) be any fixed point inside the parabola and let S be the focus of the parabola. Then the minimum value at SQ +PQ as point Q moves on the parabola is (a) |1 -a| (b) |ab|+1 (c) sqrt(a^(2)+b^(2)) (d) 1-b

Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C be chosen on the on the arc AOB of the parabola where O is the origin such that the area of DeltaACB is maximum. Then the area (in sq. units) of DeltaACB is :

Consider the parabola y^2 = 8x. Let Delta_1 be the area of the triangle formed by the end points of its latus rectum and the point P( 1/2 ,2) on the parabola and Delta_2 be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. Delta_1/Delta_2 is :

Let PQ be a focal chord of the parabola y^(2)=4ax . The tangents to the parabola at P and Q meet at point lying on the line y=2x+a,alt0 . If chord PQ subtends an angle theta at the vertex of y^(2)=4ax , then tantheta=

Let (x,y) be any point on the parabola y^2 = 4x . Let P be the point that divides the line segment from (0,0) and (x,y) in the ratio 1:3. Then the locus of P is :

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the parabola at P and Q meet at a point lying on the line y = 2x + a, a > 0 . Length of chord PQ is

Let P and Q be distinct points on the parabola y^(2) = 2x such that a circle with PQ as diameter passes through the vertex O of the parabola . If P lies in the first quadrant and the area of the triangle OPQ is 3 sqrt(2) , then which of the following is (are) the coordinates of P ?

P(alpha,alpha) is a point on the parabola y^(2)=4ax . Show that the normal chord of the parabola at P subtends a right angle at its focus.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2018
  1. If sin6theta+sin4theta+sin2theta=0, then general value of theta is

    Text Solution

    |

  2. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  3. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  4. The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4). The equ...

    Text Solution

    |

  5. If one of the diameters of the circle, given by the equation x^(2)+y^(...

    Text Solution

    |

  6. A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)...

    Text Solution

    |

  7. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  8. Let A, B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  9. Let P(at^(2),2at),Q,R(ar^(2),2ar) be three points on a parabola y^(2)=...

    Text Solution

    |

  10. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  11. Let z(1)andz(2) be complex numbers such that z(1)nez(2)and|z(1)|=|z(2)...

    Text Solution

    |

  12. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  13. A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable...

    Text Solution

    |

  14. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Let B(1,7) a...

    Text Solution

    |

  15. Consider the parabola y^(2)=4x. Let P and Q be points on the parabola ...

    Text Solution

    |

  16. If the equation x^(2)-cx+d=0 has roots equal to the fourth powers of t...

    Text Solution

    |

  17. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |

  18. The area of the triangle formed by the intersectionf of a line paralla...

    Text Solution

    |

  19. A hyperbola, having the transverse axis of length 2sintheta is confoca...

    Text Solution

    |

  20. Consider the function y=log(a)(x+sqrt(x^(2)+1)),agt0,ane1. The inverse...

    Text Solution

    |