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`

A

BC =CY

B

BC =BY

C

`BCneCY`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Multiple Choice Questions) (LEVEL -2) |15 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Match the following )|3 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6 .6|12 Videos
  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 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

MTG IIT JEE FOUNDATION-TRIANGLES - Exercise (Multiple Choice Questions) (LEVEL -1 )
  1. Two isosceles triangles have equal angles and their areas are in the ...

    Text Solution

    |

  2. If A B C and D E F are similar such that 2\ A B=D E and B C=8c m ...

    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. Let ABC be an equilateral triangel. Let BE|CA meeting CA at E, then (A...

    Text Solution

    |

  5. A right triangle has hypotenuse of length p\ c m and one side of...

    Text Solution

    |

  6. ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2, prove tha...

    Text Solution

    |

  7. DeltaABC is a right triangle , right angled at A and ADbotBC . If AB...

    Text Solution

    |

  8. Delta ABC is right-angled at A and AD bot BC. If BC=13 cm and AC=5 cm,...

    Text Solution

    |

  9. L and M are the mid points of AB and BC respectively of DeltaABC , r...

    Text Solution

    |

  10. In the given figure , x in terms of a , b and c is

    Text Solution

    |

  11. In figure, two line segments AC and BD intersects each other at the po...

    Text Solution

    |

  12. In the given figure , value of x is

    Text Solution

    |

  13. In the given figure , if (AB)/(AC)=(BD)/(CD) , then angleABD=

    Text Solution

    |

  14. The point in the plane of a triangle which is at equal perpendicular d...

    Text Solution

    |

  15. PSR is a triangle right angled at s . D is the mid -point of SR .If t...

    Text Solution

    |

  16. An isosceles triangle has a 10 inches base and two 13 inches sides .W...

    Text Solution

    |

  17. If the ratio of the perimeter of two similar triangles is 4:25, then f...

    Text Solution

    |

  18. In DeltaABC,angleB=90^(@)andBDbotAC. If DC=7 cm and AD = 3 cm , then t...

    Text Solution

    |

  19. In which of the following options ,DE ||AB where D and E lie on the si...

    Text Solution

    |

  20. In the given figure , DeltaABC~DeltaPQR ,PM is median of DeltaPQR . I...

    Text Solution

    |