Home
Class 12
MATHS
Let x^2+y^2-x+2y=11/4 is a circle with R...

Let `x^2+y^2-x+2y=11/4` is a circle with RQ and centre C. If P is any point on its circumference such that `angleQCP=45^@` , then value of area of `triangle PQR` is

A

`2cos(pi/8)`

B

`2sqrt2`

C

`(sin (pi/8))`

D

`3sin(3pi/8)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Two tangents are drawn from the point P(-1,1) to the circle x^(2)+y^(2)-2x-6y+6=0 . If these tangen tstouch the circle at points A and B, and if D is a point on the circle such that length of the segments AB and AD are equal, then the area of the triangle ABD is equal to

Let x^2 +y^2 -2x-2y-2=0 and x^2 +y^2 -6x-6y+14=0 are two circles C_1, C_2 are the centre of circles and circles intersect at P,Q find the area of quadrilateral C_1 P C_2 Q (A) 12 (B) 6 (C) 8 (D) 4

Let C: x ^(2) + y^(2)- 4x - 2y - 11=0 be a circle . A pair of tangents from the point (4,5) with a pair of radii form quadrilateral whose area is

Let the tangent to the circle x^(2) + y^(2) = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, then r^(2) is equal to :

Consider the parabola y^(2)=4x , let P and Q be two points (4,-4) and (9,6) on the parabola. Let R be a moving point on the arc of the parabola whose x-coordinate is between P and Q. If the maximum area of triangle PQR is K, then (4K)^(1//3) is equal to

Let the line L : sqrt(2)x y =alpha pass through the point of the intersection P (in the first quadrant) of the circle x^2 y^2 = 3 and the parabola x^2 = 2y . Let the line L touch two circles C_1 and C_2 of equal radius 2 sqrt 3 . If the centres Q_1 and Q_2 of the circles C_1 and C_2 lie on the y-axis, then the square of the area of the triangle PQ_1Q_2 is equal to ___________.

Let C_(1) and C_(2) be the circles x^(2) + y^(2) - 2x - 2y - 2 = 0 and x^(2) + y^(2) - 6x - 6y + 14 = 0 respectively. If P and Q are points of intersection of these circles, then the area (in sq. units ) of the quadrilateral PC_(1) QC_(2) is :

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let f(x)=(5x^2)/2 +alpha/x^5, (x gt 0) and minimum value of f(x) is 14...

    Text Solution

    |

  2. If (p^(**)q) odot (p odot ~q) is tautology then ordered pair (odot ,^(...

    Text Solution

    |

  3. Let x^2+y^2-x+2y=11/4 is a circle with RQ and centre C. If P is any po...

    Text Solution

    |

  4. Let A relation R on number defined by xRy hArr 3x+alpha y is multiple ...

    Text Solution

    |

  5. The value of 15 int0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3))) is equa...

    Text Solution

    |

  6. If P(B//A)=5/7 , P(A//B)=7/9 and P(AnnB)=1/9 given S1 equiv P(A' uu B)...

    Text Solution

    |

  7. Absolute maximum value of f(x)=tan^(-1)(sinx-cosx) is

    Text Solution

    |

  8. A class have B boys and G girls , 3 boys and 2 girls selected at rando...

    Text Solution

    |

  9. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  10. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  11. Let f(x)=lim(x to oo)(cos 2pi x -x^(2n) sin (x-1))/(1+x^(2n+1)-x^(2n))...

    Text Solution

    |

  12. Let f(x)=ax^2+bx+c and f(1)=3 , f(-2)=lamda , f(3)=4 then value of lam...

    Text Solution

    |

  13. The value of 60 int0^(pi/2) (sin 6x)/(sinx) dx is

    Text Solution

    |

  14. If 1+(2+^49C1+^49C2+. . .+^49C49)("^50C2+^50C4+^50C6+. . .+^50C50)=m.2...

    Text Solution

    |

  15. The differential equation of all the circles passing through the point...

    Text Solution

    |

  16. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  17. If alpha & beta are the roots of equation x^2-sqrt3 x+sqrt6=0 and 1+1/...

    Text Solution

    |

  18. If 6/(3^12)+10/(3^11)+20/3^10+40/3^9+. . .+10240/3^1=2^m.n then the va...

    Text Solution

    |

  19. If OAB is a triangle park and OP is a vertical tower such that AB=16, ...

    Text Solution

    |

  20. If curve y=f(x) satisfying differential equation dy/dx+(1/(x^2-1))y=((...

    Text Solution

    |