Home
Class 11
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 coordinates (3,4) and (-4,3) respectively, then `angleQPR` is equal to

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

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 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 coordinates (3,4) and (-4,3) respectively. Then find angle QPR .

A point P lies on the circle x^(2) + y^(2) = 169 . If Q = (5 , 12) and R = (-12 , 5) , then the angle angleQPR is _

A point P lines on the circle x^2+y^2=169 . If Q = (5, 12) and R= (-12, 5) , then angle angleQPR is

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. Coordinate of centre of the circle will be -

A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are parallel to the coordinate axes. One vertex of the square is (a) (1+sqrt(2),-2) (b) (1-sqrt(2),-2) (c) (1,-2+sqrt(2)) (d) none of these

The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A triangle A P Q is inscribed in triangle O A B ,O being the origin, with right angle at QdotP and Q lie, respectively, on O Ba n dA B . If the area of triangle A P Q is 3/8t h of the are of triangle O A B , the (A Q)/(B Q) is equal to (a) 2 (b) 2/3 (c) 1/3 (d) 3

Find the area of an equilateral triangle inscribed in the circle x^2 + y^2 + 2gx + 2fy + c = 0

A B C is an equilateral triangle of side 4c mdot If R , r, a n d,h are the circumradius, inradius, and altitude, respectively, then (R+r)/h is equal to (a) 4 (b) 2 (c) 1 (d) 3

An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the vertex A at (a,0) and the base angle B and C each equal to 75^@ , then coordinates of an point of the base are

The area of the triangle inscribed in a circle of radius 4 and the ratio of its angles in the ratio 5:4:3 is

PATHFINDER-CIRCLE-QUESTION BANK
  1. A circle of the coaxial system with limiting points (0, 0) & (1, 0) is

    Text Solution

    |

  2. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

    Text Solution

    |

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

    Text Solution

    |

  4. If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...

    Text Solution

    |

  5. The locus of the centre of the circle which passes through the origin ...

    Text Solution

    |

  6. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  7. In a triangle ABC, right angled at A, on the leg AC as diameter, semic...

    Text Solution

    |

  8. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  9. The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...

    Text Solution

    |

  10. A pair of tangents are drawn to a unit circle with centre at the origi...

    Text Solution

    |

  11. A line meets the co-ordinate axes in A and B. A circle is circumscribe...

    Text Solution

    |

  12. If the curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 inters...

    Text Solution

    |

  13. The distance between the chords of contact of the tangent to the circl...

    Text Solution

    |

  14. The locus of the centre of a circle radius 2 which rolls on the outsid...

    Text Solution

    |

  15. If in a triangleABC (whose circumcentre is at origin), alesinA , then ...

    Text Solution

    |

  16. The point ([P + 1], [P]), (where [.] denotes the greatest integer func...

    Text Solution

    |

  17. Find the equation of the circle whose diameter is the line joining the...

    Text Solution

    |

  18. The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

    Text Solution

    |

  19. The intercept on the line y = x by the circle x^2 + y^2 - 2x = 0 is ba...

    Text Solution

    |

  20. If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 =...

    Text Solution

    |