If a,b,c are in A.P., show that (a-c)^(2...

If a,b,c are in A.P., show that `(a-c)^(2)=4(b^(2)-ac)`.

NUMBERS AND SEQUENCES
FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (II.ANSWER THE FOLLOWING)|20 Videos
MENSURATION
FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos
RELATIONS AND FUNCTIONS
FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)|26 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in A.P. then show that 3^(a), 3^(b), 3^(c) are in G.P.

If a, b, c are in HP show that ab + bc = 2ac.

If a,b,c are in A.P., then a^(3)+c^(3)-8b^(3) is equal to

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

In a triangle, if the angles A , B ,a n dC are in A.P. show that 2cos1/2(A-C)=(a+c)/(sqrt(a^2-a c+c^2))

If a,b,c are in A.P. then (a-b)/(b-c) is equal to ………….

If a ,b ,ca n dd are in H.P., then prove that (b+c+d)//a ,(c+d+a)//b ,(d+a+b)//c and (a+b+c)//d , are in A.P.

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.

Suppose a, b, c are in a.P and a^(2), b^(2), c^(2) are in G.P. If a lt b lt c and a + b + c = 3/2 then the value of a Is

If a, b, c, l,m are in A.P, then the value of a-4b + 6c -4l +m is.