IIf a, b and c be the distances travelled by the body during x^th ,y^th , and z^th second from start, then which of the following relations is true ? (1) a(y-z) + b(z-x) + c(x-y) = 0 (2) a(z-x) + b(x-y) + c(y-z) = 0 (3) a(x-y) + b(y-z) + c(z-x) = 0 (4) ax + by + cz = 0

Open in App

Solution

Suggest Corrections

Similar questions

Δ = ∣ ∣ ∣ ∣ \begin{matrix} a x - b y - c z & a y + b x & c x + a z a y + b x & b y - c z - a x & b z + c y c x + a z & b z + c y & c z - a x - b y \end{matrix} ∣ ∣ ∣ ∣

= (x^{2} + y^{2} + z^{2}) (a^{2} {+ b}^{2} {+ c}^{2}) (a x + b y + c z) .

x, y, z \in R^{+}

a, b, c

∣ ∣ ∣ ∣ \begin{matrix} a x & c y & b z b y & a z & c x c z & b x & a y \end{matrix} ∣ ∣ ∣ ∣ = ∣ ∣ ∣ ∣ \begin{matrix} a x & b x & c x c y & a y & b y b z & c z & a z \end{matrix} ∣ ∣ ∣ ∣,

x, y, z

a x + b y + c z = 0, b x + c y + a z = 0. c x + a y + b z = 0

x^{3}

y^{3}

z^{3} =

a x + b y + c z = 1, b x + c y + a z = 0 = c x + a y + b z

∣ ∣ ∣ ∣ \begin{matrix} x & y & z z & x & y y & z & x \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} a & b & c c & a & b b & c & a \end{matrix} ∣ ∣ ∣ ∣

Join BYJU'S Learning Program