Home
Class 12
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

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 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

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a...

    Text Solution

    |

  2. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

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

    Text Solution

    |

  4. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  5. An isosceles triangle is inscribed in the circle x ^(2) + y ^(2) - 6x ...

    Text Solution

    |

  6. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  7. The centre of the circle whose radius is 5 and which touches the circl...

    Text Solution

    |

  8. A point moves such that the sum of the squares of its distances from t...

    Text Solution

    |

  9. Equation of a circle with centre (-4,3) touching internally and contai...

    Text Solution

    |

  10. The equations of the tangents drawn from the origin to the circle x^2 ...

    Text Solution

    |

  11. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  12. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

  13. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  14. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  15. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  16. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  17. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  18. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  19. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  20. Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that ar...

    Text Solution

    |