List of top Mathematics Questions

If \( x<0 \) and \( y>0 \), then the point \( P(x, y) \) is in which quadrant?
The product of the zeroes of a polynomial \(x^3 - 3x^2 + x + 1\) is:
The area of the triangle with vertices \( (1, 1), (-4, 6), (-3, -5) \) is?
If \( A = 45^\circ \), then the value of \( \sin A + \cos A + \cos 2A \) is?
If a line is passing through the points (2, 5) and (x, 3) and its slope is 2. Then the value of 'x' is?
The terms 4, 7, 10, \dots form an A.P. The sum of the first 15 terms is?
Which term of G.P. \( 2, 2\sqrt{2}, 4, \dots \) is 128?
The total surface area of a hemisphere solid having radius 7 cm is:
The pair of linear equations \( 2x - 3y = 8 \) and \( 4x - 6y = 9 \) represents the following:
Evaluate \( \dfrac{2 \tan 30^\circ}{1 + \tan^2 30^\circ} \)
If \( 15 \cot A = 8 \), then \( \sin A = \, ? \)
Find: \( \int \frac{5x}{(x + 1)(x^2 + 9)} dx \).
f and g are continuous functions on interval \( [0, a] \). Given that \( f(a - x) = f(x) \) and \( g(x) + g(a - x) = a \), show that \( \int_{0}^{a} f(x) g(x) dx = \frac{a}{2} \int_{0}^{a} f(x) dx \).
The feasible region along with corner points for a linear programming problem are shown in the graph. Write all the constraints for the given linear programming problem.
feasible region along with corner points
Prove that \( f : N \rightarrow N \) defined as \( f(x) = ax + b \) (\( a, b \in N \)) is one-one but not onto.
Evaluate: \( \int_{0}^{\pi} \frac{\sin 2px}{\sin x} dx \), \( p \in N \).
The centre of the circle of curvature for the curve \( y = e^x \) at \( (0, 1) \) is:
The integral value of \( \int \frac{\cos 2x}{\sin^2 x \cos^2 x} \, dx = \):
The curvature of the straight line \( y = 2x + 3 \) at \( (1, 5) \) is:
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Evaluate the following statement: \[ f(x) = \sin(|x|) - |x| \text{ is not differentiable at } x = \underline{\hspace{2cm}} \]
Evaluate \( (\sec A + \tan A)(1 - \sin A) = \ ? \)
If the graph of \( y = p(x) \) does not intersect the X-axis at all, then the zeroes of \( p(x) \) are:
The product of Karan’s age five years ago and his age after 9 years from now is 32. This is represented by the quadratic equation:
If $ \tan\left( \alpha - \frac{\pi}{12} \right) = \frac{1}{\sqrt{3}} $, find $ \alpha $.