List of top Mathematics Questions on Graphical Method of Analysis

The shortest distance between the lines \( x = y + 2 = 6z - 6 \) and \( x + 1 = 2y = -12z \) is:
The mean and variance of a random variable \( X \) having binomial distribution are 4 and 2, respectively. Find \( P(X = 1) \).
The domain of the function \[ f(x) = \frac{1}{\sqrt{9 - x^2}} \] is:
If the function \[ f(x) = \begin{cases} 1, & x \leq 2 \\ ax + b, & 2 < x < 4 \\ 7, & x \geq 4 \end{cases} \] is continuous at \( x = 2 \) and \( x = 4 \), then the values of \( a \) and \( b \) are:
An accurate clock shows 8 O'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 20:00 (8 O'clock in the evening)?

The eccentricity of the curve $ 2x^2 + y^2 - 8x - 2y + 1 = 0 $ is:

The equation of the plane which bisects the angle between the planes $$ 3x - 6y + 2z + 5 = 0 \quad \text{and} \quad 4x - 12y + 3z - 3 = 0 \quad \text{which contains the origin is:} $$ 
The modulus of \( (1 + i\sqrt{3})(2 + 2i) \) / \( (\sqrt{3} - i) \) is:
The point diametrically opposite to the point \( P(1, 0) \) { on the circle} \[ x^2 + y^2 + 2x + 4y - 3 = 0 { is:} \]
The average production of rice from the graph is