If the system of equations
x – ky – z = 0
kx – y –z = 0
x + y –z = 0
has a non zero solution then possible values of k are
a) −1, 2
b) 1, 2
c) 0, 1
d) −1, 1
Your Answer
Solve the system of equations
a) (2, 4)
b) (4, 2)
c) (4, 16)
d) (16, 4)
Solve the simultaneous equations
a)
b)
c)
d)
Solve the system of equations logx log3 logx y = 0 logy 27 = 1
a) (3, 3)
b) (3, 27)
c) (27, 3)
d) (27, 27)
a) (2, 6)
b) (6, 2)
c) (2, 2)
d) (6, 6)
a) (9, 25)
b) (25, 9)
c) Both of the above
d) None of the above
Solve the inequality
a) Φ
b) (0, 2)
a) (- 2, 1)
b) (3, 6)
c) (1, 3)
d) (- 2, 1) ∪ (3, 6)
b) (3, 4)
c) (4, ∞)
d) (0, 3)
b) (0, log34)
a) (– 4, 2)
b) (– 4, 8)
c) (2, 8)
d) (– 4, 2) ∪ (2, 8)
Solve the equation
a) No solution
b) – 99
c) 1
d) 100
a) 3
b) – 2
c) (3, - 2)
d) Φ
Solve 3x + 4x = 5x
b) 2
c) 4
Multiple choices
Let g(x) be a function defined on If the area of the equilateral triangle with two of its vertices at (0, 0) and (x, g (x)) is then the function g (x) is
If w ( ≠1 ) is cube root of unity, then
a) 0
b) 1
c) - 1
d) w
The determinant = 0 if
a) x, y, z are in arithmetic progression
b) x, y, z are in geometric progression
c) x, y, z are in harmonic progression
d) xy, yz, zx are in arithmetic progression
If = x + iy then
a) x = 3, y = 1
b) x = 1, y = 3
c) x = 0, y = 3
d) x = 0, y = 0
If f(x) = then f(100) equals
c) 100
d) −100
The number of distinct roots of = 0 in the interval ≤ x ≤ is
d) 3
If A = and B = then the value of α for which A2 = B is
a) 1
b) −1
d) No real values
x + ay = 0
az + y = 0
ax + z = 0
has infinite solutions then the value of a is
a) −1
c) 0
= 0 if
