Verify whether the function f: R – {3} R – {1}, defined by f(x) =(x-2)/(x-3) is one-one and onto or not.
Find the value(s) of k for which the equation x2 + 5 kx + 16 = 0 has real and equal roots.
In Fig. 6.43, the line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio AX AB
x=a cos^3 theta and y=a sin^3 theta then prove that dy÷dx=- cube root of y÷x