Maths - Objective Type Questions - +2- Collection 1- Part 2

Part two of this Question Series. Questions from 9-16 are provided below. Refer to the related post section for questions 1-8 of this collection.

9) The point of intersection of the lines \frac{x-6}{-6} = \frac{y+4}{4}= \frac{z-4}{-8} and \frac{x+1}{2} =\frac{y+2}{4}=\frac{z+3}{-2} is

a) (0,0,-4)
b) (1,0,0)
c) (0,2,0)
d) (1,2,0)

10) The centre and radius of the sphere given by x2 + y2 + z2 - 6x + 8y - 10z + 1 = 0 is

a) (- 3, 4, - 5), 49
b) (- 6, 8, - 10), 1
c) (3, - 4, 5), 7
d) (6, - 8, 10), 7

11) The value of (\frac{-1+i\sqrt{3} }{2} )^{100} + (\frac{-1- i\sqrt{3} }{2} )^{100} is
a) 2
b) 0
c) -1
d) 1

12) If the point represented by the complex number iz is rotated about the origin through the angle ��/2 in the counter clockwise direction then the complex number representing the new position is

a) iz
b) -iz
c) -z
d) z

13) If \frac{1-i}{1+i} is a root of the equation ax2+bx+1=0 , where a,b are real then (a,b) is

a) (1,1)
b) (1,-1)
c) (0,1)
d) (1,0)

14) Which of the following is incorrect?

a) \left| z_{1}z_{2} \right| = \left| z_{1} \right | \left| z_{2} \right|
b) \left| z_{1}+z_{2} \right| <= \left| z_{1} \right | + \left| z_{2} \right|
c) \left| z_{1}-z_{2} \right| <= \left| z_{1} \right |- \left| z_{2} \right|
d) \left| z_{1}+z_{2} \right| ^{2} =(z_{1} + z_{2})(\bar{z_{1}} + \bar{z_{2}})

15) The axis of the parabola y2 - 2y + 8x - 23 = 0 is

a) y=-1
b) x=-3
c) x=3
d) y=1

16) The line 4x + 2y = c is a tangent to the parabola y2 = 16x then c is

a) -1
b) -2
c) 4
d) -4

Check out Part 3 here.

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