1.
If the roots of 3×2 – 12x + k = 0 are complex, then find the range of k.
2.
Find the ratio of the circumference of the circle and the length of the arc of the sector of a circle having angle 72º.
3.
In logarithms, which of the given options is true?
4.
2a = 4b = 8c = 64. Find a² + b² + c².
5.
ab = ba but b ≠ a, then find a + b.
6.
Which of the following is correct about the properties of a circle?
7.
The sum of first ‘n’ natural numbers is 325. Find ‘n’.
8.
The area of a triangle is 108 cm². If the base is 13.5 cm, then find its corresponding height.
9.
Which of the following is not correct about the properties of a circle?
10.
Period of the decimal 2.3636363……. is :
11.
A non-recurring non-terminating decimal number is always :
12.
A uniform path is laid around and outside of a square field is 64 m² it. If the area of the path is 17 m², find the width of the path.
13.
Total surface area of hemisphere is :
14.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
15.
If 2a – 3b = 1 and 5a + 2b = 50, then what is the value of a – b ?
16.
For an equation ax² + bx + c = 0, the discriminant (D) = 0, then:
17.
A circle is inscribed in a square of side 14 m. Find the ratio of the circumference of the circle and perimeter of the square.
18.
For an equation ax² + bx + c = 0, the discriminant (D) < 0, then:
19.
Y is an integer satisfying -3 ≤ 4Y – 7 ≤ 5. How many such values are possible?
20.
Which of the following is/are true?
