Home
Class 8
MATHS
In the figure below, m||l||n and bar(PT)...

In the figure below, `m||l||n` and `bar(PT)||bar(QR)`. If `/_ TUV =x,/_QRS =gamma` and `/_ QVW =z`, then which of the following is necessarily true ?

A

`xgt gamma =z`

B

`x lt gamma =z`

C

`x= gamma =z`

D

Cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
c

(i) Extend RQ to cut UV on line m .
(ii) Extends TP to meed 1 at a point say G.
(iii) `/_ TGV =x, /_ TGV = /_ QVW ` and `z = /_ VRS` ( as they are correspongind angles )
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS ( VERY SHORT ANSWER TYPE QUESTIONS) |28 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 1|32 Videos
  • Formulae

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

Similar Questions

Explore conceptually related problems

If |b| ge 1 and x = -|a|b , then which one of the following is necessarily true ?

In the figure , l||m & l||n then x is -

In the figure below, bar(AB)||bar(FC),bar(AE)||bar(BC) and bar(AF)||bar(BD) . If /_ F=x^(@),/_C = gamma^(@),/_EAB= k^(@) and /_ABD =p^(@) , then which of the following options is correct ? ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VIII_C16_E05_004_Q01.png" width="80%"gt

In a triangle PQR, PQ=QR, A and B are the mid-points of bar(QR) and bar(PR) respectively. A circle passes through P,Q, A and B. Then which of the following is necessarily true?

If in two triangles ABC and PQR, (AB)/(QR) = (BC)/(PR) , then which of the following is true?

If x=0.123bar(4),y=0.12bar(34) and z=0.12bar(34) then which of the following is correct?

In two triangles PQR and LMN, PQ = QR, angleP=angleMandQR=LN , then which of the following is true?

PEARSON IIT JEE FOUNDATION-GEOMETRY -Level 2
  1. In the above figure, bar(AF) || bar(ED),bar(CG) ||bar(AB) and bar(AE) ...

    Text Solution

    |

  2. In the abve figure, DEF is a triangle whose side DF is produced to G. ...

    Text Solution

    |

  3. In the above figure,EF || AG,AB||CD ||FG and AG||BC. If /EFG 70^(@), t...

    Text Solution

    |

  4. In the figure below, bar(AB)||bar(FC),bar(AE)||bar(BC) and bar(AF)||ba...

    Text Solution

    |

  5. In the figure below, ABCD is a square , MDC is an equilateral triangle...

    Text Solution

    |

  6. In the above figure, GH ||IJ and AC || BD, AB and CD are bisectors of ...

    Text Solution

    |

  7. In a mombus PORS,the diagonals intersect at o Given that /P=120^(@) an...

    Text Solution

    |

  8. In the figuare above ( not to scale), bar(AD) is the angle bisector of...

    Text Solution

    |

  9. In a rhombus ABCD, the diagonal intersect each other at O. If / A =60^...

    Text Solution

    |

  10. In the figure below, m||l||n and bar(PT)||bar(QR). If / TUV =x,/QRS =g...

    Text Solution

    |

  11. A circle is passing through three vertices of a rhombus of side 8 cm a...

    Text Solution

    |

  12. Find the sum of the interior angles of the polygon gives below.

    Text Solution

    |

  13. In the above figure (not to scale) , O is the centre of the circle and...

    Text Solution

    |

  14. In the given figure, ABCD and BECD are parallelograms, BCFD is a rhomb...

    Text Solution

    |

  15. The perpenidicular drawn from the centre of a circle bisects any chord...

    Text Solution

    |

  16. In the adjacent figure ( not to scale), O is the centre of the circle ...

    Text Solution

    |

  17. In the given figure , bar(LM)||bar(NO), /QMR=50^(@) and /RSO =110^(@)....

    Text Solution

    |

  18. In the above figure, bar(AB)||bar(DE) and ACE is a straight line . I f...

    Text Solution

    |

  19. In the given figurs, /BAC =70^(@),/BCD=80^(@),/EFC =80^(@) and /ABC =6...

    Text Solution

    |

  20. In the figure, A,B,E,C and D are the points on the circle. If AB=BE an...

    Text Solution

    |