Home
Class 12
MATHS
P is a point on the segment joining the ...

P is a point on the segment joining the feet to vertical poles of heights a and b, The angles of elevation of the tops of the poles from P are `45^@` each. Then the square of the distance between the tops of the poles is:

A

`(a^2+b^2)/(2)`

B

`2(a^2+b^2)`

C

`2(a^2-b^2)`

D

`4(a^2+b^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    SIA PUBLICATION|Exercise Problems|41 Videos

  • QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS

    SIA PUBLICATION|Exercise Problems|71 Videos

Similar Questions

Explore conceptually related problems

P is a point on the segment joining the feet of two vertical poles of heights a and b. The angles of elevation of the tops of the poles from P are 45^(@) each. Then, the square of the distance between the tops of the poles is

What is the angle of elevation of the top of a temple of height 10 m at a point whose distance from the base of the tower is 10 sqrt 3 m?

At a point 15m away form the base of a 15m high pole, the angle of elevation of the top is……….

From a point on the level ground, the angle of elevation of the top of a pole is 30^@ . On moving 20 metres nearer, the angle of elevation is 45^@ . Then the height of the pole, in metres , is

Two poles of equal height are standing opposite to each other on either sidef of the road, which is 120 feet wide. From a point between then on the road, the angles of elevation of the top of the poles are 60^(@)" and "30^(@) respectively. Find the height of the poles and the distances of the point from the poles.

The angle of elevation of the top of the top of a vertical tower from a point A, due east of it is 45^(@) . The angle of elevation of the top of the same tower from a point B, due south of A is 30^(@) . If the distance between A and B is 54sqrt2m , then the height of the tower (in meters), is

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedstal is 45^(@) . Find the height of the statue.

What is the distance between pole and focal point called ?

The angle of elevation of the top of a tree from a point at a distance of 200 m from its base is 60. The height of the tree is

The angle of elevation of the sun when length of the shadow of a pole is sqrt3 times the height of the pole is

SIA PUBLICATION-PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES-Problems
  1. In any triangleABC, a(b cosC- c cosB) equals

    Text Solution

    |

  2. In any Delta ABC,((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=

    Text Solution

    |

  3. P is a point on the segment joining the feet to vertical poles of heig...

    Text Solution

    |

  4. In Delta ABC if 1/(b+c)+1/(c+a)=3/(a+b+c) then C=

    Text Solution

    |

  5. Statement I : In triangleABC, b cos^2(C )/(2)+c cos^2 (B)/(2)=5, Sta...

    Text Solution

    |

  6. In a triangle , if r1=2r2=3r3, then a/b+b/c+c/a=

    Text Solution

    |

  7. From the top of a hill h meters high the angle of depressions of the t...

    Text Solution

    |

  8. If two angles of a Delta ABC are 45^@ and 60^@, then the ratio of the ...

    Text Solution

    |

  9. In a DeltaABC,(a+b+c)(tan""A/2+tan""B/2)=

    Text Solution

    |

  10. In triangleABC, with usual notation, ovserve the two statement given b...

    Text Solution

    |

  11. The angle of elevation of an object from a point P on the level ground...

    Text Solution

    |

  12. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

    Text Solution

    |

  13. The angles of a triangle are in the ratio 3:5:10. Then the ratio of th...

    Text Solution

    |

  14. If b +c =3a , then find the value of cot.(B)/(2)cot.(C)/(2)

    Text Solution

    |

  15. The elevation of an object on a hill is observed from a certain point...

    Text Solution

    |

  16. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

    Text Solution

    |

  17. Two sides of a triangle are given by the roots of the equation x^2-5x+...

    Text Solution

    |

  18. In a Delta ABC, a (cos^2 B+cos^2 C)+cos A(c cos C+b cos B)=

    Text Solution

    |

  19. A tower, of x metres high, has a flagstaff at its top. The tower and t...

    Text Solution

    |

  20. IF in a Delta ABC, r3=r1+r2+r, then angle A+ angle B=

    Text Solution

    |