`(a+c)+(b+c)-(c-a)=square a + square b+ square c`

If the expression x^2+2(a+b+c)+3(b c+c+a b) is a perfect square, then a=b=c b. a=+-b=+-c c. a=b!=c d. non eoft h e s e

A piece of wire of length 12 cm is bent to form a square. The area of the square is (a)36 c m^2 (b) 144 c m^2 (c)9 c m^2 (d) 12 c m^2

The area of a square and that of a square drawn on its diagonal are in the ratio (a) 1:sqrt(2) (b) 1:2 (c) 1:3 (d) 1:4\

If the sum of the coefficients in the expansion of (b + c)^(20) {1 +(a -2) x}^(20) is equal to square of the sum of the coefficients in the expansion of [2 bcx - (b + c)y]^(10) , where a, b, c are positive constants, then

Replace square in each of the following by the correct number :(a) 2/7=8/square (b) 5/8=10/square (c) 3/5=square/20 (d) 45/60=15/square (e) 18/24=square/4

If A(0, 0) and C(6, -8) are end points of diagonal of a square then sum of square of abscissa of other vertex is

Show that If a(b-c) x^2 + b(c-a) xy + c(a-b) y^2 = 0 is a perfect square, then the quantities a, b, c are in harmonic progresiion

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in