Home
Class 10
MATHS
In Fig. 4.142, P A ,\ Q B and R C are...

In Fig. 4.142, `P A ,\ Q B` and `R C` are each perpendicular to `A C` . Prove that `1/x+1/z=1/y` . (FIGURE)

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 c m , B O=6c m and P B=9c m . Find A Q . (FIGURE)

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

In Figure, each of P A ,\ Q B ,\ R C and S D is perpendicular to l . If A B=6c m , B C=9c m , C D=12 c m and P S=36 c m , then determine P Q ,\ Q R and R S .

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)

If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE)

If a,b,c are in G.P. and a,x,b,y,c are in A.P., prove that : (1)/(x)+(1)/(y)=(2)/(b)

If a,b and c are A.P. whereas x,y and z are in G.P. : Prove that : x^(b-c)*y^(c-a)*z^(a-b)=1 .

In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extended to X and Y respectively and /_A B X = /_P Q Ydot Prove that A B C~=P Q Rdot Figure

In Fig. 4.90, if P S|| Q R , prove that P O S ~ R O Q . (FIGURE)

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. 4.140, /A B C=90o and B D|A C . If A B=5. 7 c m , B D=3. 8\...

    Text Solution

    |

  2. In Figure D E || B C such that AE = (1/4) AC If A B=6 cm, then 'f i ...

    Text Solution

    |

  3. In Fig. 4.142, P A ,\ Q B and R C are each perpendicular to A C ...

    Text Solution

    |

  4. In Fig. 4.143, /A=/C E D , prove that C A B∼ C E D . Also, fi...

    Text Solution

    |

  5. The perimeters of two similar triangles are 25cm and 15cm respectiv...

    Text Solution

    |

  6. In A B C and D E F , it is being given that: A B=5c m ,\ \ B C=4c...

    Text Solution

    |

  7. D and E are the points on the sides A B and A C respectively of a tria...

    Text Solution

    |

  8. In A B C , A L and C M are the perpendiculars from the vertices A a...

    Text Solution

    |

  9. In Fig. 4.144, we have A B∥ CD∥ EF . If A B=6c m , C D=x\ c m , E F...

    Text Solution

    |

  10. In Fig. 4.145, if A B|B C , D C|B C and D E|A C , prove that C E ...

    Text Solution

    |

  11. In an isosceles triangle A B C, where CA = CB the base A B is produce...

    Text Solution

    |

  12. Diagonals A C and B D of a trapezium A BC D with A B, D C intersect ...

    Text Solution

    |

  13. If A B C and A M P are two right triangles, right angled at B and ...

    Text Solution

    |

  14. A vertical stick of length 6m casts a shadow 4m long on the ground a...

    Text Solution

    |

  15. In Fig. A B C is right angled at C and D E|A B . Prove that A...

    Text Solution

    |

  16. If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ...

    Text Solution

    |

  17. In two similar triangles A B C and P Q R , if their corresponding ...

    Text Solution

    |

  18. If ΔA B C ∼ ΔD E F such that area of ΔA B C is 9\ c m^2 and the ...

    Text Solution

    |

  19. In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot ...

    Text Solution

    |

  20. Prove that the area of the equilateral triangle described on the si...

    Text Solution

    |