List of top Mathematics Questions

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
Evaluate: \( \int_{0}^{\pi} \frac{\sin 2px}{\sin x} dx \), \( p \in N \).
Prove that \( f : N \rightarrow N \) defined as \( f(x) = ax + b \) (\( a, b \in N \)) is one-one but not onto.
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 \( (\sec A + \tan A)(1 - \sin A) = \ ? \)
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:
Tenth term of the AP \( 1, -1, -3, -5, \dots \) is
A card is drawn from a set of 52 cards. The probability of getting a queen card is:
Which of the following has equally likely outcomes?
If \( P(E) = \), then:
Which of the following cannot be a probability?
Formula for finding mode for grouped data is:
The mode and mean of a data are 7 and 5 respectively, then median is:
A model is made with two cones each of height 2 cm attached to the two ends of a cylinder. The diameter of the model is 3 cm and its length is 12 cm. Then the volume of the model is (use \( \pi = \frac{22}{7} \)):
A toy is in the form of a cone of radius \( r \) and lateral height \( l \) mounted on a hemisphere of the same radius, and the total height of the toy is \( h \), then the total surface area of the toy is:
Area of minor segment if a chord of a circle of radius 10 cm subtends a right angle at the centre is (use \( \pi = 3.14 \)):

Length of an arc of a sector of angle 45° when the radius of the circle is 3 cm, is:

A tangent \( PQ \) at a point \( P \) of a circle of radius 9 cm meets a line through the center \( O \) at a point \( Q \) such that \( OQ = 15 \) cm. The length of \( PQ \) is:
The angle made by the tangent at any point of the circle with the radius at the point of contact is:
The number of tangents a circle can have from a point outside the circle is:
A ladder is leaned against a wall with angle of \(60^\circ\) with the ground and its foot is 6 feet away from the wall. Then the length of the ladder is: