1.
The area of a rhombus is 24. One diagonal measures 6 units, find the length of a side.

2.
In two intersecting lines, the angles opposite to each other are termed as:

3.
The locus of a point that move so that its distance from a fixed point and a fixed line is always equal, is known as:

4.
In a regular polygon, the perpendicular line drawn from the center of the inscribed circle to any of the sides is called:

5.
Line that pass through a common point are called:

6.
Each of the faces of a regular hexahedron is a

7.
A five-pointed star is also known as

8.
The ratio of radii of cone and cylinder is 1:2 while the ratio of radius of cone to its altitude is 1:3. If lateral surface area of cylinder equals volume of cone, find the radius of the cone if the altitude of cylinder is 4.

9.
A line segment joining two point in a circle is called

10.
A polygon with fifteen sides is called:

11.
A quadrilateral with two and only two sides of which are parallel, is called:

12.
A triangle having three sides equal is called:

13.
The volume of two spheres is in the ratio of 27:343 and the sum of their radii is 10. Find the radius of the smaller sphere

14.
Point which lie on the same plane, are called:

15.
A hyperbola has its center at point (1, 2), vertex at (2, 2) and conjugate vertex at (1, 0). Find the equation

16.
If the radius of the circle is decreased by 20%, by how much is its area decreased

17.
72. The general equation of a conic section whose axis is inclined is given by Ax^2+Bxy+Cy^2+Dx+Ey+F=0. When B^2-4 Ac=0, the curve is a/an

18.
A regular octagon is inscribed in a circle of radius 10. Find the area of the octagon

19.
The volume of a sphere is tripled. What is the increase in surface area if the radius of the original sphere is 50 cm.?

20.
The distance between the center of the three circles which are mutually tangent to each other externally are 10, 12 and 14 units. The area of the largest circle is

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