Home
Class 11
MATHS
An acute triangle PQR is inscribed in th...

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

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

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

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.

" If an equilateral triangle is inscribed in the circle "x^(2)+y^(2)-6x-4y+5=0" then the length of its side "

In a triangle PQR, the co- ordinates of points P, Q and R are (3, 2) , (6, 4) and (9, 3) respectively . Find the co-ordinates of centroid G. Also find areas of Delta PQG and Delta PRG .

A right angled isosceles triangle is inscribed in the circle x^(2)+y^(2)-4x-2y-4=0 then length of its side is

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

    Text Solution

    |

  2. Area of a circle in which a chord of length sqrt(2) makes an angle (pi...

    Text Solution

    |

  3. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  4. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

    Text Solution

    |

  5. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

    Text Solution

    |

  6. Abscissas of two points P and Q are roots of the equation x^(2) + 2x ...

    Text Solution

    |

  7. The radius of the circle sqrt(1 + a^(2)) (x^(2) + y^(2)) - 2bx - 2...

    Text Solution

    |

  8. If line 3x - y + c = 0 touches circle x^(2) + y^(2) - 2x + 8y - 2...

    Text Solution

    |

  9. Given A -= (2,4) " and " C -= (4,-2) . If Delta ABC is right-angle...

    Text Solution

    |

  10. If y = 2x + k " touches " x^(2) + y^(2) - 4x - 2y = 0 , then k=

    Text Solution

    |

  11. If line x cos alpha + y sin alpha = p " touches circle " x^(2) + y^(...

    Text Solution

    |

  12. If line 4x + 3y + k = 0 " touches circle " 2x^(2) + 2y^(2) = 5x , t...

    Text Solution

    |

  13. Equation of circle which touches line x = y at the origin , and passe...

    Text Solution

    |

  14. If the line (x)/(a) + (y)/(b)= 1 touches the circle x^(2) + y^(2) ...

    Text Solution

    |

  15. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  16. The intercet on the line y = x by the circle x^(2) + y^(2) - 2x = 0 ...

    Text Solution

    |

  17. Find the greatest distance of the point P(10 ,7) from the circle x^2+y...

    Text Solution

    |

  18. Equation of parabola with vertex (0,0) and focus (2,0) is

    Text Solution

    |

  19. Equation of parabola with vertex (0,0) and focus (2,0) is

    Text Solution

    |

  20. Equation of parabola with vertex (0,0) , X-axis as axis of symmetry , ...

    Text Solution

    |