Home
Class 10
MATHS
PA|AC and RC|ACsuch that PA=x and RC = z...

`PA_|_AC and RC_|_AC`such that PA=x and RC = z .If PC and AR are intersect at thepoint Q , perpendicuIar distance from AC is y then prove that 1/x+1/z=1/y.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos
  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

If (3.7)^x=(.37)^y=1000 ,then prove that 1/x-1/y=1/3

In the triangle ABC, the bisector of /_A intersects BC at X. XL and XM are perpendiculars from X on AB and AC respectively. Prove that AL= AM .

If x, y, z are all positive real numbers, then prove that, If x+y+z=1 , then prove that (1-x)(1-y)(1-z)ge8xyz .

If the points (p,0), (0,q)and (x,y) are collinear, prove that x/p+y/q= 1 .

If 3x + 2y = -1 , then prove that 27x^3+8y^3+1-18xy = 0

If tan A -tan B = x and cot B - cot A = y, prove that cot(A-B)=1/x+1/y

E is the middle point of the median AD of /_\ABC . BE intersects AC at F. Prove that AF=1/3AC .

If x,y,z are in G.P and p,q,r are in A.P then prove that x^(q-r) y^(r-p) z^(p-q)=1 .

If tan^-1 x+tan^-1 y+tan^-1 z=pi , prove that x+y+z=xyz

If x = 10 , y = 64, and z = 2, then prove that (x+y+z)^3 = 438976

R G PUBLICATION-TRIANGLES-EXERCISE
  1. PA|AC and RC|ACsuch that PA=x and RC = z .If PC and AR are intersect a...

    Text Solution

    |

  2. All circles are . (congruent, similar)

    Text Solution

    |

  3. All squares are -. (Similar, congruent)

    Text Solution

    |

  4. All triangles are similar. (isosceles, equilateral)

    Text Solution

    |

  5. Two polygons of the same number of sides are similar, if(a) their corr...

    Text Solution

    |

  6. Two polygons of the same number of sides are similar, if(b) their corr...

    Text Solution

    |

  7. Give two different examples of pair of(i) similar figures

    Text Solution

    |

  8. Give two different examples of pair of((ii) non-simiIar figures

    Text Solution

    |

  9. State whether foIIowing quadrilaterals are similar or not:

    Text Solution

    |

  10. In fig(i) ,DE||BC.Find EC in (i).

    Text Solution

    |

  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

    Text Solution

    |

  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

    Text Solution

    |

  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

    Text Solution

    |

  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

    Text Solution

    |

  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

    Text Solution

    |

  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

    Text Solution

    |

  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

    Text Solution

    |

  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

    Text Solution

    |