List of top Mathematics Questions on Coordinate Geometry asked in NATA

What is the angle between the hour and minute hands at 4:30?

What is the sum of interior angles of a polygon with 10 sides?
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
Circle with center O and radius 25 cms has a chord AB of length of 14 cms in it. Find the area of triangle AOB.
Circle with center O
Rhombus of side 6 cm has an angle equal to the external angle of a regular octagon. Find the area of the rhombus.
A hyperbola has ____ vertices and ___foci.
A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?
A (p,0), B (4,0), C (5,6) and D (1,4) are the vertices of a quadrilateral ABCD. If ADC is obtuse, what is the maximum integral value of p?
vertical pole 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts the shadow 50 m long on the ground. Find the height of the tower. (Answer to be provided in m)
A well of depth 20 m with a radius 4 m is dug from the earth to form a platform of length 25 m and a breadth of 12 m. Find the height of the platform.
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected?
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. What is the ratio of the area of triangles ABC and BDE?
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. (Provide answer as x, y (in numerical). Any other format will not be accepted for marking)
A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.
An umbrella has 8 ribs which are equally spaced. Assuming the umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella. (Answer to be provided in cm2)
An umbrella has 8 ribs
A well of depth 20 m with a radius 4 m is dug from the earth to form a platform of length 25 m and a breadth of 12 m. Find the height of the platform.
The areas of two similar triangles are 100cm2 and 49cm2. If the altitude of the bigger triangle is 4 cm, then what will be the altitude of the corresponding smaller triangle?
Find the diameter of the circle if the circumference of the circle is \(\frac{11}{5}\) m. 
(Answer has to be provided in cm. Any other format will not be accepted for marking) 
Triangle ABC has angles A = 60° and B = 70°. The in-center of this triangle is at I. Find angle BIC. (Provide answer in degrees)
Triangle ABC has angles A = 60° and B = 70°.
A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 211 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages did she produce this year?
How many diagonals does a 63-sided convex polygon have?
A wire is in the form of a circle of radius 38cm. If it is bent into a square what will be the area of the square (in cm2) ?
Find the angle of "X" from the figure given below.
A triangle with angles and x
For the given tile pattern calculate the area shaded in BLUE colour if one of the length of the tile is 10 cm.
tile pattern