A curve is such that when y = 0, x = -2 or x = 3. Find th...
A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
y = \(x^2 - 5x - 6\)
y = \(x^2 + 5x - 6\)
y = \(x^2 + x - 6\)
y = \(x^2 - x - 6\)
Correct answer is A
Since the curve cuts the x-axis at x = -2 and x = 3,
(x + 2)(x - 3) = 0
\(x^2 - 3x + 2x - 6\) = 0
\(x^2 - x - 6\) = 0
Hence, the equation of the curve is
y = \(x^2 - x - 6\)
Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\) ...
Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\) ...
Simplify \(\frac{1}{5x + 5}\) + \(\frac{1}{7x+ 7}\)...
If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q\(\cap\)T?...
One of the factors of (mn - nq - n2 + mq) is (m - n). The other factor is? ...