Mathematics - Online Test
Q1. Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
Answer : Option B
Explaination / Solution:
Q2. The index of the power of x that occurs in the term from the end in the expansion of is
Answer : Option C
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Q3. Given the sets A = { 1, 2, 3 } , B = { 3 , 4 } , C = { 4 , 5, 6 } , then A ∪( B ∩ C ) is
Answer : Option C
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Q4. If f (x) = is equal to
Answer : Option B
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Q5. If | x − 2|= p, where x < 2, then x - p =
Answer : Option D
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Q6. The nth term of the sequence 5 + 55 + 555 + …. is
Answer : Option B
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Q7. If the two lines of regression are 2x + y =7 and x + 2y = 7, then ρ(X,Y) is equal to
Answer : Option B
Explaination / Solution:
let us assume that 2x + y =7 and x + 2y = 7 are lines of regression of y on x and x on y respectively
therefore,
but sign of p will be same as and
hence,
Q8. If a differentiable function f (x) has a relative minimum at x = 0, then the function y = f (x) + a x + b has a relative minimum at x = 0 for
Answer : Option B
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Q9. Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).Let F = 4x + 6y be the objective function. Maximum of F – Minimum of F =
Answer : Option A
Explaination / Solution:
Here the objective function is given by : F = 4x +6y .
Corner points | Z = 4x +6 y |
(0, 2 ) | 12………………..(Min.) |
(3,0) | 12………………….(Min.) |
(6,0 ) | 24 |
(6 , 8 ) | 72 |
(0 , 5 ) | 30 |
Maximum of F – Minimum of F = 72 – 12 = 30 .
Q10. The domain of definition of the function y=f(x)= √−x is :
Answer : Option A
Explaination / Solution:
y is defined if −x ⩾ 0 ,i.e.if x ⩽ 0, i.e. x ∈(−∞,0].
