Home
Class 12
MATHS
A straight line through the vertex P of ...

A straight line through the vertex `P` of a triangle `PQR` intersects the side `QR` at the point `S` and the circuecirele of the triangle `PQR` at the point `T.` If `S` is not the centre of the circumeircle, then

A

`(1)/(PS)+(1)/(ST)lt (2)/(sqrt(QSxxSR))`

B

`(1)/(PS)+(1)/(ST)gt (2)/(sqrt(QSxxSR))`

C

`(1)/(PS)+(1)/(ST)lt(4)/(QR)`

D

`(1)/(PS)+(1)/(ST)gt (4)/(QR)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -I Previous Year /JEE Main|19 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

In a triangle PQR mark the points X, Y, Z in the interior of triangle PQR

In a triangle PQR mark the points A, B, C in the exterior of triangle PQR

If the vertices P,Q,R of a triangle PQR are rational points,which of the following points of the triangle POR is (are) always rational point(s)?

if ar( (triangle) PQR) is zero, then the points P,Q and R are --------------.

In Delta PQR , the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is

MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
  1. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  2. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  3. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  4. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  5. A straight line through the vertex P of a triangle PQR intersects the ...

    Text Solution

    |

  6. Suppose four distinct positive numbers a1,a2,a3,a4 are in G.P. Let b1=...

    Text Solution

    |

  7. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

    Text Solution

    |

  8. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

    Text Solution

    |

  9. Let a(1),a(2),a(3),"........."a(11) be real numbers satisfying a(1)=15...

    Text Solution

    |

  10. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |

  11. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  12. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

    Text Solution

    |

  13. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  14. Let an denote the number of all n-digit positive integers formed by th...

    Text Solution

    |

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

    Text Solution

    |

  16. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  17. Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b...

    Text Solution

    |

  18. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  19. Let bi gt 1 for i = 1, 2, ...., 101. Suppose loge b1, loge b2, ...., l...

    Text Solution

    |

  20. Let X be the set consisting of the first 2018 terms of the arithmet...

    Text Solution

    |