List of top Mathematics Questions on Geometry

If the slope of the straight line joining the points \((2,3)\) and \((5,7)\) is \(m\), then \(9m^2=\)

If the point \(P(a,b)\) divides the line joining the points \(A(-3,4)\), \(B(5,2)\) internally in the ratio \(2:3\), then \(b-a=\)

The radii of two concentric circles with centre \(O\) are \(10\) cm and \(6\) cm. If chord \(AB\) of the larger circle is tangent to the smaller circle, then the distance (in cm) of chord \(AB\) from centre \(O\) is

Among the following, the point that does not lie on the circle with centre at origin and radius \(3\) cm is

If angles of a triangle are \((x+10)^\circ\), \((2x+5)^\circ\) and \((3x-15)^\circ\), then the value of \(x\) is

Which of the following cannot be the sides of a triangle ?

For which of the following figures, diagonals don't bisect each other?

If \(\triangle ABC \sim \triangle DEF\) such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then the perimeter of \(\triangle ABC\) is :

The angle which makes a linear pair with an angle of \(61^{\circ}\) is :

In \(\triangle ABC\) & \(\triangle PQR\), if \(AB = QR\), \(BC = PR\) and \(CA = PQ\), then :

In \(\triangle ABC\) and \(\triangle PQR\), \(\angle A = \angle P\) and \(\angle B = \angle Q\). If AB = 4 cm, BC = 6 cm and PQ = 8 cm, then QR is

In \(\triangle ABC\), D lies on AB and E lies on AC such that AD = 2 cm, DB = 3 cm, AE = 4 cm and EC = 6 cm. By the converse of the Basic Proportionality Theorem, ________.

In \(\triangle ABC\) and \(\triangle DEF\), \(\angle A = \angle D\). For \(\triangle ABC \sim \triangle DEF\) by the SAS similarity criterion, the additional condition required is

In the proof of BPT (\(DE \parallel BC\) in \(\triangle ABC\)), since \(\triangle BDE\) and \(\triangle CDE\) have equal areas, the ratio AD/DB is shown to be equal to ________.

In the proof of the Basic Proportionality theorem for \(\triangle ABC\) with \(DE \parallel BC\) (on AB, E on AC), the construction made is to join ________.

In the given figure, O is the centre of the circle and PQ & PR are the tangents to the circle such that OQ = 8 cm and OP = 17 cm, then the length of the tangent PQ is :

Match the postulates in List-I with List-II.

Kartik has three solid objects — a cone, a hemisphere, and a cylinder. All three have the same base radius and the same height. He completely immerses each solid in a bucket full of water. What is the ratio of the volumes of the cylinder: cone: hemisphere?

Kritika has three solid objects cone, hemisphere, cylinder. All have same base radius and height. Then the ratio of volume of cylinder : cone : hemisphere is

In the adjoining figure, the slant height of the conical part is :

A car is moving away from the base of a 30 m high tower. The angle of elevation of the top of the tower from the car at an instant, when the car is \(10\sqrt{3}\) m away from the base of the tower, is :

If TP and TQ are two tangents to a circle with centre O from an external point T so that \(\angle POQ = 120^\circ\), then \(\angle PTQ\) is equal to :

In the given figure, PA is a tangent from an external point P to a circle with centre O. If \(\angle POB = 125^\circ\), then \(\angle APO\) is equal to :

The length of the arc of the sector of a circle with radius 21 cm and of central angle 60°, is :

The hour hand of a clock is 7 cm long. The angle swept by it between 7:00 a.m. and 8:10 a.m. is :