The value of k for which the lines 5x + 6y + a = 0 and 9x + ky + a = 0 represent family of parallel lines is

A) 18

B) 108

C) 10.8

D) 118

Circle with center O and radius 20cms has a chord AB of length of 10cms in it. Find the area of triangle AOB.

A) \$25√15 cm^2\$

B) \$25√10 cm^2\$

C) \$25cm^2\$

D) \$25√9cm^2\$

The slope of the normal to the curve \$y = 2x^2 - 4\$ at P(1, -2) is

A) \$1/4\$

B) \$-4\$

C) \$4\$

D) \$-1/4\$

In the figure, the shaded region is a square with an area of 16 square units, inscribed inside equilateral triangle ABC. What is the perimeter of triangle ABC?

A) 16

B) 30

C) 24

D) 28

The equation of the line parallel to the line 4x - 6y = 3 and passing through the middle point of the line segment joining the point (1,6) and (1, -10), is

A) 3y - 2x + 8 = 0

B) 4y - 2x + 8 = 0

C) 3y- 5x + 8 = 0

D) 8y - 6x + 8 = 0

A circle in the xy-plane has equation \$(x+3)^2+(y-1)^2 \$= 25. Which of the following points do NOT lie in the interior of the circle?

A) (0,2)

B) (3,2)

C) (-7,2)

D) (-3,1)

A circle has a center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠RSO is 88°. What is the measure of ∠ROS, in degrees?

A) 48

B) 44

C) 46

D) 45

If △ABC ~ △PQR such that area of △ABC is \$576cm^2\$, area of △PQR is \$144 cm^2\$ and BC = 64 cm, find the length of QR.

A) 82

B) 42

C) 62

D) 32

If one endpoint of a line segment is (4,8) and the other endpoint is (8,-10), find the equation of the perpendicular bisector of this line segment.

A) y = \$2/9 x - 7/3\$

B) y = \$2/7 x - 7/3\$

C) y = \$5/9 x - 7/3\$

D) y = \$2/9 x - 11/3\$

The equation of the line parallel to the line 4x - 6y = 3 and passing through the middle point of the line segment joining the point (1,6) and (1, -10), is

A) 8y - 6x + 8 = 0

B) 3y - 2x + 8 = 0

C) 2y - 2x + 8 = 0

D) 3y - 5x + 8 = 0