1.
A regular cyclic polygon has each interior angle measuring 144º. Find the angle subtended by each of its side at the geometrical center of the polygon?
2.
What is the smallest positive irrational number?
3.
A non-recurring non-terminating decimal number is always :
4.
Find the minimum value of | x – 3 | − 11
5.
The maximum value of 23 – |2x + 3 | is
6.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
7.
Which of the following is an irrational number?
8.
In logarithms, which of the given options is true?
9.
For an equation ax² + bx + c = 0, the discriminant (D) < 0, then:
10.
Find the quadratic equations whose zeroes are −½ and ⅔.
11.
The polynomial x³ – 4x² + x – 4 on factorization gives
12.
The sum of two positive irrational numbers can be a rational number.
13.
In a quadrilateral, all angles are less than 180° and two of its diagonals lie completely inside the quadrilateral. The quadrilateral is known as:
14.
The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 3. Find the number of the sides of the polygon.
15.
If it is given that xyz = 0, Find: (ax)yz + (ay)xz + (az)xy
16.
What kind of an angle subtended by a minor arc in its alternate segment?
17.
What are common measures of central tendency?
18.
³√5 is an irrational number as well as a surd. State true or false.
19.
If x° is the measure of an angle which is equal to its complement and y° is the measure of an angle which is equal to its supplement. Find the x° + y°.
20.
2a = 4b = 8c = 64. Find a² + b² + c².
