Home
Class 12
MATHS
If b,c B are given, and if b lt c, show ...

If b,c B are given, and if `b lt c`, show that `(a_1 -a_2)^2 +(a_1 + a_2)^2 tan^2 B= 4b^2`, where `a_1,a_2` are the two values of the third side.

Text Solution

Verified by Experts

The correct Answer is:
`= 4b^2`
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE -1|36 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL I)|25 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

Let (1 + x^2)^2 (1 + x)^n = A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2, are in A.P. then the value of n is

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is

If the points (a_1, b_1),\ \ (a_2, b_2) and (a_1+a_2,\ b_1+b_2) are collinear, show that a_1b_2=a_2b_1 .

Let (1+x^2)^2 (1+x)^n= A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2,........ are in A.P. then the value of n is

Prove by vector method that (a_1b_1+a_2b_2+a_3b_3)^2lt+(a_1^2+a_2^2+a_3^2)(b_1^2+b_2^2+b_3^2)

The average of a_1, a_2, a_3, a_4 is 16. Half of the sum of a_2, a_3, a_4 is 23. What is the value of a_1