Home
Class 12
MATHS
If the sides of the triangle ABC are p,q...

If the sides of the triangle ABC are p,q and `sqrt(p^(2)+ pq+q^(2)),` then the greatest angle of the triangle is-

A

`(pi)/(2)`

B

`(2pi)/(3)`

C

`(5pi)/(4)`

D

`(5pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 10|1 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 11|1 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 2|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

The lengths of sides of triangle ABC are a units, b units and sqrt(a^2+ab+b^2) units show that greatest angle of the triangle is 120^@

The sides of a triangle ABC are (x^(2) + x +1),(2x+1) and (x^(2)-1) . Find the greatest angle of the triangle.

Knowledge Check

  • The measures of the sides of a triangle are 3,5 and 7 then the greatest angle of the triangle is-

    A
    `120^(@)`
    B
    `150^(@)`
    C
    `135^(@)`
    D
    `90^(@)`
  • If the sides of right angled triangle are in G.P then the cosines of the acute angle of the triangle are-

    A
    `(sqrt(5)-1)/2`
    B
    `(sqrt(5)+1)/2`
    C
    `sqrt(sqrt(5)-1)/2`
    D
    `(-(sqrt(5))-1)/2`
  • If p+q = sqrt(13) and p-q = sqrt(5) , then the value of 2pq is

    A
    2
    B
    4
    C
    9
    D
    18
  • Similar Questions

    Explore conceptually related problems

    If the three sides of a triangle are (a^2 + b^2) cm., (a^2 - b^2) cm. and 2ab cm., then the greatest angle of the triangle is

    If the angles of the triangle ABC are in A.P. and b:c= sqrt3:sqrt2 then find the value of angleA

    If the ratio of three sides of a triangle be sqrt(2) : sqrt(3) : sqrt(5) , then the triangle is always a right-angled triangle.

    The sides of a triangle are x^2+3x+3,2x+3,x^2+2x . Find the greatest angle of the triangle.

    PQ is a vertical tower having P as the foot. A,B,C are three points in the horizontal plane through P. The angles of elevation of Q from A,B,C are equal and each is equal to theta . The sides of the triangle ABC are a,b,c, and area of the triangle ABC is triangle . Then prove that the height of the tower is (abc) tantheta/(4 'triangle' dot