Simplify the given expression √1−cosx1+cosx
1−cosxsinx
1 - cos x
sin x
1 + cos x
1+cosxsinx
Correct answer is A
√1−cosx1+cosx = a
a2 = 1−cosx1+cosx
1−cosx1+cosx = 1−cosx1−cosx
= (1−cosx)2cos2x
a2 = (1−cosx)2sin2x
a = 1−cosxsinx
Solve the system of equation 2x + y = 32, 33y - x = 27
(3, 2)
(-3, 2)
(3, -2)
(-3, -2)
(2, 2)
Correct answer is A
2x + y = 32, 33y - x = 27
2x + y = 25
33y + x = 33
x + y = 5
3y−x=34y=8
y = 2
If it is given that 5x + 1 + 5x = 150, then the value of x is equal to
3
4
1
2
12
Correct answer is D
5x + 1 + 5x = 150
5(5x) + 5x = 150
6(5x) = 150
5x = 1506
= 25
= 52
= 2
Find the solution of the equation x + 2√x−8 = 0
(4, 16)
(2, 4)
(4, 1)
(1, 16)
(16, 16)
Correct answer is A
x + 2√x−8=0,Let√x=y
x = y2
y2+2y - 8 = 0
(y + 4)(x - 2) = 0
y = -4 or 2
x = 16 or 4
What will be the value of k so that the quadratic equation kx2 - 4x + 1 = 0 has two equal roots?
2
3
4
8
14
Correct answer is C
kx2 - 4x + 1 = 0, comparing with ax2 + bx + c = 0
a = k, b = -4, c = 1 for equal root b2 = 4ac
(-4)2 = 4k
k = 164
= 4