Home
Class 9
MATHS
In the adjoining figure, line segment PA...

In the adjoining figure, line segment `PA, PB` and `PC` are drawn from point P to line XY. Here PB is perpendicular to XY.
(i) What is the nature of the angles formed by line segment PA and PC from XY ?
(ii) Which line segment is the smallest in the segment PA, PB and PC ?

Text Solution

Verified by Experts

The correct Answer is:
(i) acute angle (ii) PB
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Type Question)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7a|35 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

Draw a line segment AB = 6 cm. Take a point P above this line segment. Draw a perpendicular to AB through the point P.

Draw a line segment XY = 7 cm. Take a point A on it such that XA = 4cm. Draw a perpendicular to XY through the point A.

A line segment AB is bisected at point P and through point P another line segment PQ, which is perpendicular to AB, is drawn. Show that : QA = QB.

In a DeltaABC , P is a point on side BC. The line segment perpendicular to BC through the point P has its end point as vertex A. what is the line segment PA called ?

In the adjoining figure, name : (i) four points (ii) four line segments (iii) four rays

Draw a line segment LT. Take a point A above this line segment. Drop a perpendicular from the point A onto LT.

In the adjoining figure, AB gt AC and the angle bisectors of angleB and angleC meet at point P. Prove that PB gt PC .

In Figure, A P and B Q are perpendiculars to the line segment A B and A P=B Qdot Prove that O is the mid-point of line segment A B and P Qdot Figure

From an external point P , two tangents PA and PB are drawn to the circle with centre O . Prove that O P is the perpendicular bisector of A B .

NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7b
  1. In DeltaABC, AB = 8 cm, BC=15 cm and AC = 17 cm. find the largest angl...

    Text Solution

    |

  2. In DeltaABC, angleA=50^(@), angleB=60^(@). Find the largest side.

    Text Solution

    |

  3. In the adjoining figure, write the sides of DeltaABC in descending ord...

    Text Solution

    |

  4. In the adjoining figure, explain : (i) which side is the greatest si...

    Text Solution

    |

  5. In the adjoining figure, (i) Which side is smallest ? (ii) In Delt...

    Text Solution

    |

  6. In the adjoining figure, x gt y, Prove that AB gt AC

    Text Solution

    |

  7. In the adjoining figure, AB gt AC and the angle bisectors of angleB an...

    Text Solution

    |

  8. Prove that sum of any two sides of a triangle is greater than twice th...

    Text Solution

    |

  9. In the adjoining figure, PQ=PR. Show that PS gt PQ.

    Text Solution

    |

  10. Prove that the perimeter of a triangle is greater than the sum of i...

    Text Solution

    |

  11. Prove that the sum of the sides of a quadrilateral is greater than twi...

    Text Solution

    |

  12. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  13. Prove that the perimeter of a triangle is greater than the sum of it...

    Text Solution

    |

  14. In the adjoining figure, P is an interior point of DeltaABC. Then prov...

    Text Solution

    |

  15. In DeltaABC, if BC gt AC gt AB then : (i) What is the relation angle...

    Text Solution

    |

  16. In the adjoining figure, line segment PA, PB and PC are drawn from poi...

    Text Solution

    |

  17. Show that in a right angled triangle, the hypotenuse is the longest si...

    Text Solution

    |