If f(x+2y,x-2y) = xy, then f(x,y) is equal to :
Anonymous Quiz
16%
(x²+y²)/4
43%
(x²-y²)/4
14%
(x²+y²)/8
27%
(x²-y²)/8
If g(x) = x²-6x+ 38, and (gof) (x) = 4x² - 10x + 5, then f(4) is equal to :
Anonymous Quiz
8%
2
44%
3
44%
4
4%
5
Consider the statement: P(n) = n^2 - n +41 is prime. Then which one of the following is TRUE ?
Anonymous Quiz
3%
P(5) is false but P(3) is true
39%
P(3) is false but P(5) is true
55%
Both P(5) and P(3) are true
3%
Both P(5) and P(3) are false
IF (Ζ-α)/(Z+α) is a purely imaginary number with α∈ R and | z | = 4, then the value of α is:
Anonymous Quiz
8%
1
24%
2
36%
3
32%
4
If a, b, c, d are positive real numbers such that a+b+c+d=2, then M = (a + b) (c + d) satisfies:
Anonymous Quiz
52%
0≤M≤1
22%
1≤M≤2
17%
2≤M≤3
9%
-1≤M≤0
The harmonic mean of two numbers is 4, their arithmetic mean A and geometric mean G satisfy the relation 2A + G2 = 27, then the numbers are :
Anonymous Quiz
12%
4 and 4
51%
3 and 6
29%
8 and 8/3
8%
5 and 10/3
Let cos θ = x + P/X where x is a real number for all real values of θ, then :
Anonymous Quiz
24%
P<= (1/4)
29%
P>=(1/4 )
24%
P>=(1/2)
24%
(1/2)>= P >=(1/4)
If the straight line, 2x-3y + 17 = 0 is perpendicular to the line passing through the point (7, 17) and (15, a), then a is equal to:
Anonymous Quiz
8%
-5
49%
5
33%
-35/3
10%
35/3
The two circles x² + y² = ax and x²+ y² = c², (c>0) touch each other if :
Anonymous Quiz
25%
|a|=c
55%
|a|=2c
20%
2|a|=c
0%
|a|=3c
👍1
A tangent is drawn to the parabola y^2 = 6x which is perpendicular to the line 2x + y =1.Which of the following points does not lie on it?
Anonymous Quiz
17%
(3, 1)
42%
(4, 5)
42%
(0, 3)
0%
(2, 4)
The equation of a common tangent to the parabolas y = x² and y = -(x-2)² is:
Anonymous Quiz
25%
y=4 (x-2)
40%
y = 4 (x-1)
35%
y=4 (x+2)
0%
y=4 (x+1)
The function f(x) = (x/2 )+ (2/x) has local minimuma at the point
Anonymous Quiz
15%
1
19%
-1
35%
2
31%
-2
The differential equation of all parabolas, whose axes are parallel to the y-axis, is:
Anonymous Quiz
21%
Y'''=0
23%
Y'''+Y''=0
33%
Y''+2Y'=0
23%
Y''=0