Mathematics Past Questions and Answers

The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is

A X + 8x² - 5 = 0
B 2x² - 5x + 8 = 0
C 2x² - 8x + 5 = 0
D X² + 8x - 5 = 0

Question 42:

Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)

A 27
B 9
C \(\frac{1}{27}\)
D 18
E 81

Question 43:

What is the length of an arc of a circle that substends 2\(\frac{1}{2}\) radians at the centre when the raduis of the circle = \(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\) then

A P < 0
B P\(\geq\) 0
C P \(\leq\) 0
D P < 1
E P > 0

Question 44:

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?

A 50^o
B 75^o
C 35^o
D 115^o
E 30^o

Question 45:

In the figure, find the area of XYZW

A 60cm²
B 54cm²
C 27cm²
D 54\(\sqrt{2}\)cm²
E 27\(\sqrt{2}\)cm²