If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C)...
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
Find the value of
(1 - `1/(p+1)` ) + (1 - `2/(p+1)` ) + (1 - `3/(p+1)` ) + ........................... + (1 - `p/(p+1)` )
A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the orig...
If ab + bc + ca = 0
Find the value of 1/(a2 - bc) + 1/(b2 - ca) + 1/(c2 - ab)
If (x² + 1)/x = 3, what is the value of (x¹² + 1)/x ⁶ ?
If 4x + 1/3x = 12 then find the value of 9x2 +1/16x2.
If a = 2 + √3, then the value of (a6 + a4 + a2 + 1)/a3 is