Home
Class 12
MATHS
The straight roads intersect at an angle...

The straight roads intersect at an angle of 60°. A bus on one road is 2 km away from the intersection and a car on tire other road is 3 km away from the intersection. Then, the direct distance between the two vehicles, is

A

`1 km`

B

`sqrt2 km`

C

`4 km`

D

`sqrt7 km`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (2)(TRUE AND FALSE)|2 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (2)(FILL IN THE BLANKS)|3 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (1)(FILL IN THE BLANKS)|10 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

Two straight roads intersect at an angle of 60^(@). A bus on one road is 2km away from the intersection and a car on the other road is 3km away from the intersection.Then the direct distance between the two vehicles is

Two straight roads meet an angle of 60^(@) . Initially one man is at a distance of 10 m on one road from the crossing and the other at a distance of 20 m on the other road from the crossing. They starts moving at the same instant with the same speed towards the crossing. find the minimum distance between them.

Two highways are perpendicular to each other : imagine them to be along the x-axis and the y-axis, respectively. At the instant t=0, a police car P is at a distance d= 400m from the intersection and moving at speed of 80km // h towards it along the x-axis. Motorist M is at a distance of 600m from the intersection and moving towards it at a speed of 60km // h along the y-axis . The minimum distance between the cars is

Two poles are placed at P and Q on either side of a road such that the line joining P and Q is perpendicular to the length of the road. A person moves x metre away from P parallel to the road and places another pole at R. Then the person moves further x metre in the same direction and turns and moves a distance y metre away from the road perpendicularly, where he finds himself, Q and R on the same line. The distance between P and Q (i.e., the width of the road) in metre is

Directions for questions 8-10: A police van, approaching a right-angled intersection from north, is chasing a car that has turned the corner and is now moving straight east. When the van is 0.6 km north of the intersection, the car is 0.8 km to the east. At that instant the police determines with the help of the radar that the distance between the car and the van is increasing at a rate of 20 km/ hr. The speed of the police van at that instant (71) is 60 km/ hr. Q8) If s is the distance between the car and the van, r is the position of the car and y is the position of the van at time t, then

ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
  1. Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A

    Text Solution

    |

  2. Let 'l' is the length of median from the vertex A to the side BC of a ...

    Text Solution

    |

  3. If a triangle ABC, D is the mid point of side BC and angleADB =theta "...

    Text Solution

    |

  4. The straight roads intersect at an angle of 60°. A bus on one road is ...

    Text Solution

    |

  5. If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in ...

    Text Solution

    |

  6. If the anngle A,B,C of a Delta ABC are in A.P then :-

    Text Solution

    |

  7. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

    Text Solution

    |

  8. In any DeltaABC, prove that (a-b)^(2)cos^(2)""C/2+(a+b)^(2)sin^(2)""C/...

    Text Solution

    |

  9. If cos A+cos B+2cos C=2 then the sides of the A B C are in A.P. (b) G...

    Text Solution

    |

  10. In a triangle ABC with fixed base BC, the vertex A moves such that cos...

    Text Solution

    |

  11. If in a triangle ABC, 2 (cos A)/(a)+(cos B)/(b)+2(cos C)/c=(a)/(bc)+b/...

    Text Solution

    |

  12. In Delta ABC, (a + b+ c) (b + c -a) = kbc if

    Text Solution

    |

  13. In a triangle ABC, 2ac sin((A-B+C)/2) =

    Text Solution

    |

  14. In a A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)cotC=0

    Text Solution

    |

  15. In any DeltaABC, prove that ((b^(2)-c^(2)))/a^(2)"sin 2a"+((c^(2)-a^(2...

    Text Solution

    |

  16. The sides of a triangle ABC are 6 , 7 , 8 and the smallest angle being...

    Text Solution

    |

  17. The sides of a triangle ABC are 6, 7, 8, the smallest angle being C th...

    Text Solution

    |

  18. The sides of a triangle ABC are 6, 7, 8, the smallest angle being C th...

    Text Solution

    |

  19. In a triangle cot A:cot B:cot C = 30:19:16 " then " a:b:c

    Text Solution

    |

  20. The sids of a triangle aresqrt((b^2+c^2)),sqrt((c^2+a^2)),sqrt((a^2+b^...

    Text Solution

    |