Explore topic-wise MCQs in Maths.

What is the length of the radius of the circumcircle of the equilateral triangle, the length of whose side is 6 3 cm?

If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is

The radius of the circumcircle of a right-angled triangle is 15 cm and the radius of its in circle is 6 cm. Find the sides of the triangle.

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is

The length of the common chord of two circles of radii 30 cm and 40 cm whose centers are 50 cm apart is (in cm)

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that

ABC is an isosceles triangle with AB = AC. The side BA is produced to D such that AB = AD. If ABC = 30 , then BCD is equal to

ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point of Q, intersects AB at P. Then AP : AB is :

An exterior angle of a regular polygon is 72^o. The sum of all the interior angles is -

The ratio between the three angles of a quadrilateral is 1:6:2 respectively. The value of the fourth angle of the quadrilateral is 45 .What is the difference between the value of the largest and smallest angles of the quadrilateral?

The distance between the center of two equal circles each of radius 3 cm, is 10 cm. The length of a transverse common tangent is

A unique circle can always be drawn through x number of given non-collinear points, then X must be

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between there interior angles is 2 : 3. The number of sides of these polygons is respectively

If the circumcenter of the triangle lies outside it, then the triangle is

If ABC is an isosceles triangle with C = 90 and AC = 5 cm then AB is :

If in a triangle, the orthocenter lies on vertex, then the triangle is

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is:

Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is

The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC XY is:

The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their Interior angles of the polygon is 6⁰ . Then the number of sides are

If the sum of the interior angles of a regular polygon be 1080 , the number of sides of the polygon is

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

ABC and DBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ABC= x cm², then what is the area (in cm²) of DBC?

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is

The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle.

Each exterior angle of a regular polygon measures 9 . How many sides does the polygon have?

An angle is four times its complementary angle. What is the measure of the angle?

Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is 30 cm

The difference between the interior and the exterior angles of a regular polygon is 150^o. Find the number of sides in the polygon.

On increasing the radius of circle by 1 cm, its area is increased by 44 cm² .The original radius of the circle is -

The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm²).

ABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD BC, BE AC and CF AB. Which of the following is true?

A line touches a circle of a radius 6 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel then the distance between them is:

A field in the shape of a trapezium whose parallel sides are 200 meter and 400-meter-long, whereas each of other two sides is 260 meter long. What is the area (in m²) of the field?

PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If SPT=32 , then what will be the measure of QRP?

In PQR , R=54 the perpendicular bisector of PQ at S meets QR at T. If TPR =46 , then what value of (in degree) PQR?

ABC is similar to DEF. Length of AB is 18 cm and length of the corresponding side DE is 10 cm. What is the ratio of Perimeter of ABC : Perimeter of DEF?

In an isosceles triangles ABC, AB=AC the median drawn on the same arms are perpendicular to each other find AB/BC?

If one of the interior angles of a regular polygon is equal to 5/6 times of one of the interior angles of a pentagon, then the no. of sides of the polygon.

In ABC, C=90 and CD is perpendicular to AB at D. If AD/BD=$$ { sqrt{k}}$$, then AC/BC=?

Equation of the straight line parallel to x-axis and also 3 units below x-axis is:

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the PTQ?

In a trapezium, one diagonal divides the other in the ratio 2 :9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

What is the area (in cm ) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56 . What is the value of largest angle of the triangle?