List of top Mathematics Questions on Geometry asked in AP EAPCET

The equation of the line passing through the points \( \left( ct_1, \frac{c}{t_1} \right) \) and \( \left( ct_2, \frac{c}{t_2} \right) \) is
If the plane \( 56x + 4y + 9z = 2016 \) meets the coordinate axes in \( A, B \) and \( C \), then the centroid of the \( \triangle ABC \) is

If $ P(2, 3) $ and $ Q(-1, 2) $ are conjugate points with respect to the circle $ x^2 + y^2 + 2gx + 3y - 2 = 0 $ then the radius of the circle is

In a triangle ABC, let \(\angle C = \pi/2\). If r and R are respectively inradius and circumradius of ABC, then R + r =
The least value of $n$ so that ${}^{n-1}C_3 + {}^{n-1}C_4>{}^nC_3$ is
If a polygon of $n$ sides has 560 diagonals, then $n$ = ?
The pairs of straight lines \( 2x^2 + axy + 3y^2 = 0 \) and \( 2x^2 + bxy - 3y^2 = 0 \) share a common line, and the other lines are perpendicular. Then values of \( a \) and \( b \) are?
If $a = 2$, $b = 3$, $c = 4$ in a triangle $ABC$, then $\cos C =$
In triangle \( ABC \), if \( a = 2 \), \( b = 3 \) and \( \sin A = \frac{2}{3} \), then \( \angle B = \):
Let \( P_1, P_2, \ldots, P_{15} \) be 15 points on a circle. The number of distinct triangles formed by points \( P_i, P_j, P_k \) such that \( i + j + k \ne 15 \), is:
If the angles of a triangle ABC are in the ratio 1:2:3, then the corresponding sides are in the ratio:
Two curves \( y = a^x \) and \( y = b^x \) intersect at some angle \( \alpha \). Find \( \tan \alpha \).
Given points \( A(-3, 3), B(1, 1), C(1, -1), D(-2, -2) \), find the angle between diagonals \( AC \) and \( BD \).
A farmer owns a triangular plot in Guntur. He measures the sides of the plot as 4 cm, 5 cm, and 7 cm. The area of the land (in sq. cm) is: