Home
Class 9
MATHS
In Figure, A P\ |l\ a n d\ P R > P Q . S...

In Figure, `A P\ _|_l\ a n d\ P R > P Q` . Show that `A R > A Q`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In figure, P Q=P R . Show that P S > P Q .

In Figure, P Q=P Rdot Show that P S > P Q

In Figure, If P Q=P T\ a n d\ /_T P S=/_Q P R , prove that \ P R S is isosceles

In Figure, P S=Q R\ a n d\ /_S P Q=/_R Q Pdot Prove that P Q S\ ~=\ Q P R ,\ P R=Q S\ a n d\ /_Q P R=\ /_P Q S

In Figure P Q || C D and P R || C B. Prove that ( A Q)/(Q D)=(A R)/(R B)dot

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

In Figure, P S=P R ,\ \ /_T P S=\ /_Q P Rdot Prove that P T=P Q

In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that /_P O Q+\ /_Q O R+\ /_S O R+\ /_P O S=360^0

In Figure, side Q P\ a n d\ R Q of P Q R are produced to point S\ a n d\ T respectively. If /_S P R=135^0a n d\ /_P Q T=110^@ , find /_P R Q

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, P Q R is a triangle and S is any point in its interior, s...

    Text Solution

    |

  2. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P ...

    Text Solution

    |

  3. In Figure, A P\ |l\ a n d\ P R > P Q . Show that A R > A Q.

    Text Solution

    |

  4. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

    Text Solution

    |

  5. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

    Text Solution

    |

  6. Of all the lines segments drawn from a point P to a line m not cont...

    Text Solution

    |

  7. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

    Text Solution

    |

  8. In Figure, T is a point on side Q R of P Q R and S is a point such th...

    Text Solution

    |

  9. In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddo...

    Text Solution

    |

  10. In Figure, A B\ a n d\ C D are respectively the smallest and longes...

    Text Solution

    |

  11. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and s...

    Text Solution

    |

  12. In a A B C , if /B=/C=45^0, which is the longest side?

    Text Solution

    |

  13. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

    Text Solution

    |

  14. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m...

    Text Solution

    |

  15. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

    Text Solution

    |

  16. O is any point in the interior of A B Cdot Prove that A B+A C > O...

    Text Solution

    |

  17. Prove that the perimeter of a triangle is greater than the sum of i...

    Text Solution

    |

  18. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  19. In Figure, prove that C D+D A+A B+B C >2A C

    Text Solution

    |

  20. Which of the following statements are true (T) and which are false (...

    Text Solution

    |