Mathematics Past Questions and Answers

If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find a in its simplest form

A X² - 1
B X² + 1
C X² + 4
D X² - 4
E 1

Question 42:

In \(\bigtriangleup\) XYZ, XKZ = 90^O, XK = 15cm, XY = 35cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ

A 190 sq.cm
B 20 sq.cm
C 210 sq.cm
D 160sq.cm
E 320sq.cm

Question 43:

In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86^o and NQP = 122^o find (x^o, y^o)

A 28^o, 36^o
B 36^o, 28^o
C 43^o, 61^o
D 61^o, 43^o
E 36^o, 43^o

Question 44:

In the figure POQ is the diameter of the circle PQR. If PSR = 145^o, find x^o

A 25^o
B 35^o
C 45^o
D 125^o
E 55^o

Question 45:

In the figure, GHIJKLMN is a cube of side a. Find the length of HN.

A \(\sqrt{3a}\)
B 3a
C 3a²
D A\(\sqrt{2}\)
E A\(\sqrt{3}\)