Home
Class 12
MATHS
The triangle PQR is inscribed in the cir...

The triangle PQR is inscribed in the circle `x^2+y^2 = 25`. If Q and R have co-ordinates(3,4) and(-4, 3) respectively, then `angle QPR` is equal to

A

`pi/2`

B

`pi/3`

C

`pi/4`

D

`pi/6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos
  • MOCK TEST 2

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

Similar Questions

Explore conceptually related problems

An acute triangle PQR is inscribed in the circle x^(2)+y^(2)=25. If Q and R have coordinates (3, 4) and (-4,3) respectively,then find /_QPR .

A rectangle ABCD is inscribed in the circle x^2+y^2+3x+12y+2=0 . If the co-ordinates of A and B are (3,-2) and (-2,0) then the other two vertices of the rectangle are

IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=25 , where the coordinates of P and Q are (3, -4) and (4, 3) respectively, then

If the vertices P,Q and R of a triangle have cooddinates (2,3,5),(-1,3,2) and (3,5,-2) respectively,then find the angles of the triangle PQR.

If the vertices P,Q and R of a triangle have cooddinates (2,3,5),(-1,3,2) and (3,5,-2) respectively,then find the angles of the triangle PQR.

KVPY PREVIOUS YEAR-MOCK TEST 10-EXERCISE
  1. Statement-1 : If a1,a2,a3,….. an are positive real numbers , whose pro...

    Text Solution

    |

  2. Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2). Then S(n) can take value...

    Text Solution

    |

  3. The triangle PQR is inscribed in the circle x^2+y^2 = 25. If Q and R h...

    Text Solution

    |

  4. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  5. The smaller radius of the sphere passing through (1, 0,0),(0,1,0) and ...

    Text Solution

    |

  6. The number of real values of the parameter k for which (log(16)x)^2-(l...

    Text Solution

    |

  7. Let S be the set of complex number a which satisfyndof log(1/3) { log...

    Text Solution

    |

  8. ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...

    Text Solution

    |

  9. If P(x) is a polynomial of the least degree that has a maximum equal ...

    Text Solution

    |

  10. if 10! = 2^p3^q5^r7^s then

    Text Solution

    |

  11. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  12. If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2, then |ve...

    Text Solution

    |

  13. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents an ellipse (b)...

    Text Solution

    |

  14. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  15. If f(x)=cos{(pi)/(2)[x]-x^(3)},1ltxlt2, and [x] denotes the greatest i...

    Text Solution

    |

  16. The number of real solutions of the equation 1+|e^x - 1|= e^x (e^x ...

    Text Solution

    |

  17. If 2x-y+1=0 is a tangent to the hyperbola (x^2)/(a^2)-(y^2)/(16)=1 the...

    Text Solution

    |

  18. If the equation (x^2)/3-4x+13=sin(a/x) has a solution then a is equal ...

    Text Solution

    |

  19. If m be the slope of common tangent of y = x^2 - x + 1 and y = x^2 – 3...

    Text Solution

    |

  20. If Sn=^nC0.^nC1+^nC1.^nC2+.....+^nC(n-1).^nCn and if S(n+1)/Sn=15/4 , ...

    Text Solution

    |