List of top Mathematics Questions asked in Andhra Pradesh Polytechnic Common Entrance Test

If A, B and C are angles in a triangle then\(\tan\left(\frac{A + B}{2}\right) \tan\left(\frac{C}{2}\right) \tan + \tan\left(\frac{B + C}{2}\right) \tan\left(\frac{A}{2}\right) + \tan\left(\frac{C + A}{2}\right) \tan\left(\frac{B}{2}\right)\) =
\(\sqrt{\frac{1 + \sin\theta}{1 - \sin\theta}} + \sqrt{\frac{1 - \sin\theta}{1 + \sin\theta}}=\)
A square of side 7 cm encloses a circle touching all its four sides. Then the area enclosed between the square and the circle is
The diameter of a sphere is equal to the height of the cone of equal volume. If r and R are the radii of cone and sphere respectively, then r2 =
Which of the following combinations of sides and/or angles cannot form a right-angled triangle?
An equilateral triangle ABC is such that the side BC is parallel to X-axis. Then the slopes of its sides AB, BC, CA respectively are
The diagonals of a quadrilateral ABCD intersect at a point O such that AO. DO = BO.CO. Then the quadrilateral is definitely a
A man is standing between two lamp posts on a horizontal line dividing the distance between them in the ratio 1:2. The height of man is 2 m. It is noticed that shadow of the man with respect to first lamp post just touches the foot of second lamp post. If the distance between the posts is 30 m, find the height of the first post.
In a trapezium \(ABCD AB || CD\), the diagonals AC and BD intersect at ‘P’. If \(AB: CD = 2:1\), then area of \(△CPD: \)area of \(△APB = \)
A tangent is drawn from an external point P to a circle of 8 cm radius. If the length of the tangent is 15 cm then the distance between the centre of the circle and point P is
Q is a point on the line BD dividing the segment internally. AB, PQ and CD are drawn perpendicular to BD. If AB = a, PQ = b and CD = c, then
The perimeter of the quadrilateral ABCD formed by A(-3, 1), B(0, 5), C(4, 8), D(1, 4) taken in that order is