Home
Class 10
MATHS
In a triangle A B C , let P and Q be po...

In a triangle ` A B C` , let P and Q be points on AB and AC respectively such that `P Q || B C` . Prove that the median `A D` bisects `P Q`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6c|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6d|27 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Eercise 6b|1 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .

In A B C , P and Q are points on sides A B and A C respectively such that P Q||B C . If A P=4c m ,\ \ P B=6c m and P Q=3c m , determine B C .

Let P be an interior point of a triangle ABC , Let Q and R be the reflections of P in AB and AC , respectively if Q .A , R are collinear then angle A equals -

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q// B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In Fig. 4.34, A ,\ B and C are points on O P ,\ O Q and O R respectively such that A B P Q and B C Q R . Show that A C P R . (FIGURE)

In Figure, P , is any point on the chord B C of a circle such that A B=A P . Prove that C P=C Q .

A B C D is a trapezium in which A B D C . P and Q are points on sides A D and B C such that P Q A B . If P D=18 , B Q=35 and Q C=15 , find A D .

In a right triangle A B C right-angled at B , if P a n d Q are points on the sides A Ba n dA C respectively, then (a) A Q^2+C P^2=2(A C^2+P Q^2) (b) 2(A Q^2+C P^2)=A C^2+P Q^2 (c) A Q^2+C P^2=A C^2+P Q^2 (d) A Q+C P=1/2(A C+P Q)dot

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P to B C intersects F E\ at Q . Prove that A Q=Q P .

P and Q are points on the sides C A and C B respectively of A B C , right-angled at C . Prove that A Q^2+B P^2=A B^2+P Q^2 .

NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6b
  1. the perimeters of two similar triangles are 40 cm and 30 cm respectiv...

    Text Solution

    |

  2. In the given figure AD and CE are two altitude of triangleABC. Prove t...

    Text Solution

    |

  3. D is a point on the side BC of triangleABC such that angleADC= angleBA...

    Text Solution

    |

  4. The diagonal B D of a parallelogram A B C D intersects the segment A E...

    Text Solution

    |

  5. Prove that the line segments joining the mid-points of the sides of a ...

    Text Solution

    |

  6. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

    Text Solution

    |

  7. In a triangle A B C , let P and Q be points on AB and AC respectively...

    Text Solution

    |

  8. from the adjoining figure, prove that trianglePQR~triangleABC. Hence p...

    Text Solution

    |

  9. In Figure, A D and B E are respectively perpendiculars to B C and A ...

    Text Solution

    |

  10. In a triangle A B C ,\ \ A D|B C and A D^2=B DxxC Ddot Prove that A ...

    Text Solution

    |

  11. If one diagonal of a trapezium divides the other diagonal in the ratio...

    Text Solution

    |

  12. One angle of a triangle is equal to one angle of another triangle and ...

    Text Solution

    |

  13. In the adjoining figure two medians AD and BE of a triangleABC meet ea...

    Text Solution

    |

  14. In an isosceles triangle A B C, the base A B is produced both the way...

    Text Solution

    |

  15. Two poles of height a metres and b metres are p metres apart. Prove th...

    Text Solution

    |

  16. E si a point on side AD produced of a parallelogram ABCD and BE inters...

    Text Solution

    |

  17. In a right angled triangle with sides a and b and hypotenuse c ,...

    Text Solution

    |

  18. in the given figure, if triangleABE cong triangleACD prove that triang...

    Text Solution

    |

  19. A man wishes to determine the height of a tall building . In the middl...

    Text Solution

    |

  20. In trianglePQR, angleP=72^(@), M is the mid point of side QR, and L an...

    Text Solution

    |