Home
Class 10
MATHS
In A B C , a line X Y parallel to B ...

In ` A B C` , a line `X Y` parallel to `B C` cuts `A B` at `X` and `A C` at `Y` . If `B Y` bisects `/_X Y C` , then `B C=C Y` (b) `B C=B Y` (c) `B C!=C Y` (d) `B C!=B Y`

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

X Y is drawn parallel to the base B C of a A B C cutting A B at X and A C at Y . If A B=4 B X and Y C=2c m , then A Y= 2c m (b) 4c m (c) 6c m (d) 8c m

A B C D is a trapezium with A B||D C . A line parallel to A C intersects A B at X a n d B C at Ydot Prove that a r( A D X)=a r( A C Y)dot

X Y isa line parallel to side B C of A B CdotB E A and C F A B meet X Y in E and F respectively.Show that a r( A B E)=a r( A C F)dot

A B C D is a parallelogram and line segments A X ,\ C Y bisect the angles A\ a n d\ C , respectively. Show that A X||C Y

In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on the diagonal B D such that D X=B Y . Prove that A X C Y is a parallelogram (ii) A X=C Y ,\ A Y=C X A Y B\ ~= C X D (iv) A X D~=\ C Y B

In Figure, B C X Y ,\ B X C A and A B Y Cdot Prove that: a r( A B X)=a r( A C Y)

If (a+b)/(c+d)=(x)/(y) , then y=_____

If x=b-c+a, y=c-a+b, z=a-b+c , then prove that (b-a) x + (c-b)y +(a-c)z=0

If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then b=1,\ c=2 (b) b=-1,\ c=1 (c) b=2,\ c=1 (d) b=-2,\ c=1

If a+b+c=0 and pne 0 then lines ax + (b+ c)y =p, bx+ (c+a)y=p and cx+ (a+b) y=p

RD SHARMA-TRIANGLES-All Questions
  1. X Y is drawn parallel to the base B C of a A B C cutting A B at X ...

    Text Solution

    |

  2. Two poles of height 6m and 11m stand vertically upright on a plane ...

    Text Solution

    |

  3. In A B C , a line X Y parallel to B C cuts A B at X and A C at Y ....

    Text Solution

    |

  4. In A B C , D and E are points on side A B and A C respectively ...

    Text Solution

    |

  5. In triangles A B C and D E F , /A=/E=40o , A B : E D=A C : E F and ...

    Text Solution

    |

  6. If A B C and D E F are similar triangles such that /A=47o and /E=83...

    Text Solution

    |

  7. If D ,\ E and F are the mid-points of the sides of a A B C , the r...

    Text Solution

    |

  8. In a A B C , /A=90o , A B=5c m and A C=12 c m . If A D|B C , then A D...

    Text Solution

    |

  9. In an equilateral triangle A B C , if A D|B C , then 2\ A B^2=3\ A ...

    Text Solution

    |

  10. If A B C is an equilateral triangle such that A D|B C , then A D^2...

    Text Solution

    |

  11. In a A B C , perpendicular A D from A on B C meets B C at D . If B...

    Text Solution

    |

  12. In a A B C , point D is on side A B and point E is on side A C , such...

    Text Solution

    |

  13. In a A B C , A D is the bisector of /B A C . If A B=6c m , A C=5c ...

    Text Solution

    |

  14. In a A B C , A D is the bisector of /B A C . If A B=8c m , B D=6c ...

    Text Solution

    |

  15. A B C D is a trapezium such that B C || A D and A B=4c m . If the ...

    Text Solution

    |

  16. If A B C is an isosceles triangle and D is a point on B C such t...

    Text Solution

    |

  17. A B C is a right triangle right-angled at A and A D|B C . Then, (B ...

    Text Solution

    |

  18. If E is a point on side C A of an equilateral triangle A B C suc...

    Text Solution

    |

  19. If in A B C and D E F , (A B)/(D E)=(B C)/(F D) , then A B C ~ D E...

    Text Solution

    |

  20. If in two triangles A B C and D E F , (A B)/(D E)=(B C)/(F E)=(C A)...

    Text Solution

    |