−12
0
23
2
Correct answer is A
Given the formula for p * q as: p+q+2pq and its identity element is 0, such that if, say, t is the inverse of p, then
p∗t=0, then p+t+2pt=0∴
t = \frac{-1}{1 + 2p} is the formula for the inverse of p and is undefined on R when
1 + 2p) = 0 i.e when 2p = -1; p = \frac{-1}{2}.
Given that f(x) = 2x^{2} - 3 and g(x) = x + 1 where x \in R. Find g o f(x)....
Evaluate \int_{\frac{1}{2}}^{1} \frac{x^{3} - 4}{x^{3}} \mathrm {d} x....
Which of the following vectors is perpendicular to \begin{pmatrix} -1 & 3 \end{pmatrix}?...
The mean and median of integers x, y, z and t are 5 and z respectively. If x < y < z < t an...
If ^{3x}C_{2} = 15, find the value of x?...
Find the value of the derivative of y = 3x^2 (2x +1) with respect to x at the point x = 2. ...
A body of mass 15kg is placed on a smooth plane which is inclined at&n...
A linear transformation T is defined by T: (x,y) → (3x - y, x + 4y). Find the image of (2, -1) ...