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 = \(x^2 - x - 6\)
The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]...
If \(104_x = 68\), find the value of x...
The area of a parallelogram is 513cm\(^2\) and the height is 19cm. Calculate the base....
In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177o. Calculate < PST....
Evaluate \(\begin{vmatrix} 4 & 2 & -1 \\ 2 & 3 & -1 \\ -1 & 1 & 3 \end{vmatrix}\)...
From the cyclic quadrilateral above, find < TSV ...
Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q? ...