Home
Class 12
MATHS
about to only mathematics...

about to only mathematics

Text Solution

Verified by Experts

The correct Answer is:
`pi//4`
We know that
`/_ QPR=(1)/(2) /_ QOR`

O being the center (0,0) of the given circle `x^(2)+y^(2)=25`.
Let `m_(1)=` Slope of OQ `=(4)/(3)`
and `m_(2)=` Slope of `OR =- (3)/(4)`
As `m_(1)m_(2)= -1`, we have
`/_ QOR =(pi)/(2) ` or `/_ QPR =(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A school library has 75 books on Mathematics, 35 books on physics. A student can choose only one book , In how many ways a student can choose a book on Mathematics or physics?

The first theorem in mathematics is ………… .

There are 15 candidates for an examination . 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together ?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaning 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects . In how many ways can they be seated in a row so that no two mathematics candidates are together ?

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

The probability that a student will score centum in mathematics is (4)/(5) . The probability that he will not score centum is ............

CENGAGE-CIRCLE -Exercise 4.3
  1. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  2. If the join of (x1,y1) and (x2,y2) makes on obtuse angle at (x3,y3), t...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  5. The least distance of the line 8x -4y+73=0 from the circle 16x^2+16y^...

    Text Solution

    |

  6. If the length tangent drawn from the point (5, 3) to the circle x^2...

    Text Solution

    |

  7. The length of the tangent from any point on the circle to the circle (...

    Text Solution

    |

  8. Find the locus of a point which moves so that the ratio of the lengths...

    Text Solution

    |

  9. Find the length of the tangent drawn from any point on the circle x^2+...

    Text Solution

    |

  10. A tangent is drawn to each of the circles x^2+y^2=a^2 and x^2+y^2=b^2d...

    Text Solution

    |

  11. The equation of chord AB of the circle x^2+y^2=r^2 passing through t...

    Text Solution

    |

  12. If a circle passes through the point of intersection of the lines lamb...

    Text Solution

    |

  13. Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that ...

    Text Solution

    |

  14. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  15. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

    Text Solution

    |

  16. Find the middle point of the chord of the circle x^2+y^2=25 intercepte...

    Text Solution

    |

  17. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |