Home
Class 12
MATHS
The circle x^2+y^2=1 cuts the x-axis at ...

The circle `x^2+y^2=1` cuts the x-axis at `Pa n dQdot` Another circle with center at `Q` and variable radius intersects the first circle at `R` above the x-axis and the line segment PQ at S. Find the maximum area of triangle QSR.

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

A circle touches the x-axis and also touches the circle with centre (0,3) and radius2. The locus of the centre of the circle is

Find the equation of the circle which touches the x-axis and whose center is (1, 2).

Find the locus of center of circle of radius 2 units, if intercept cut on the x-axis is twice of intercept cut on the y-axis by the circle.

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with A A ' as the major axis. Find the maximum area of triangle A P A '

Find the equation of the circle with center at (3,-1) and which cuts off an intercept of length 6 from the line 2x-5y+18=0

A circle is given by x^2 + (y-1) ^2 = 1 , another circle C touches it externally and also the x-axis, then the locus of center is:

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

Find the area in the first quadrant bounded by the circle x^(2) +y^(2) =16 ,the x-axis and the ordinates x =1 and x=3

Find the locus of the center of the circle which cuts off intercepts of lengths 2a and 2b from the x-and the y-axis, respectively.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the number of points of maxima and minima of the function. f(x)=1...

    Text Solution

    |

  2. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

    Text Solution

    |

  3. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |

  4. let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if...

    Text Solution

    |

  5. A cubic f(x) vanishes at x= -2 and has relative minimum and maximum a...

    Text Solution

    |

  6. A window of perimeter P (including the base of the arch) is in the ...

    Text Solution

    |

  7. A point P is given on the circumference of a circle of radius r. Chord...

    Text Solution

    |

  8. Show that 2sinx+tanx≥3x, where 0≤x< π/2 ​

    Text Solution

    |

  9. Find the maxima and minima of the function y=x(x-1)^2,0lt=xlt=2.

    Text Solution

    |

  10. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  11. The smallest positive root of the equation tanx-x=0 lies in (a)(0,pi/2...

    Text Solution

    |

  12. Let P(x)=a0+a1x^2+a2x^4+...+an x^(2n) be a polynomial in a real variab...

    Text Solution

    |

  13. A cylindrical container is to be made from certain solid material whic...

    Text Solution

    |

  14. Statement 1: If f(0)=0,f^(prime)(x)=ln(x+sqrt(1+x^2)), then f(x) is po...

    Text Solution

    |

  15. Match the items of column I with column II and select the correct opti...

    Text Solution

    |

  16. Find the points at which the function f given by f(x)=(x-5)^4 has loca...

    Text Solution

    |

  17. Find the greatest value of f(x)=1/(2a x-x^2-5a^2)in[-3,5] depending up...

    Text Solution

    |

  18. The set of all values of a for which the function f(x)=(sqrt(a+4)/(1...

    Text Solution

    |

  19. Let f(x)=(x^3-6x^2+12 x-8)e^xdot Statement 1: f(x) is neither maximum...

    Text Solution

    |

  20. Statement 1: The function f(x)=x^4-8x^3+22 x^2-24 x+21 is decreasing f...

    Text Solution

    |