JEE Advanced Math Test 14

Result

JEE Advanced Math Test 14

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Weekly Quiz Competition

Question 1
4 / -1

Which one of following statement is true

A
G is an optically inactive compound

B
H is an optically inactive compound and have all C – C bond of equal length

C
F and D both have equal no of π-bond

D
H is 3-methylnaphthalene

Solution
Question 2
4 / -1

A

B

C

D
None of these

Solution
Question 3
4 / -1

If a bag contains five balls. Two balls are drawn and are found to be white. What is the probabilitythat all the balls are white?

A
1/4

B
1/3

C
1/2

D
2/3

Solution

Here two balls are drawn and the result is known that the two balls are white, therefore Bayes’s theorem should be used.

Required probability
Question 4
4 / -1

If f(x) and g(x) are defined and differentiable for x ≥ x₀ and then

A
f (x) > g (x) , for some x > x₀

B
f (x) > g (x) , for no x > x₀

C
f (x) = g (x) , for some x > x₀

D
f (x) > g(x) , for all x > x₀

Solution
Question 5
4 / -1

If z₁ and z₂ are two variable complex numbers such that, Then themaximum value of ,is

A
23

B
13

C
5

D
18

Solution
Question 6
4 / -1

A
K = 1/4

B
K = 1/2

C
K = 3/4

D
K = 5/4

Solution
Question 7
4 / -1

The perpendicular from origin to the tangent at any point on a curve is equal to the obscissa ofthe point of contact. If the curve passes through point (1, 2), then it also passes through point,

A
(1,-2)

B
(1,3)

C
(2,3)

D
(-2,1)

Solution
Question 8
4 / -1

For an ellipse with vertices A & A’, tangent drawn at the point ‘P’ in the first quadrantmeets the y – axis in Q and the chord A’P meets the y – axis in M. If ‘O’ is the centre of ellipse,then OQ² – MQ2is equal to,

A
9

B
13

C
4

D
5

Solution
Question 9
4 / -1

If Then f(x) = 0 has,

A
odd number of real roots

B
Atleast one root lies between - ∞,-1

C
All roots are negative

D
All options are correct

Solution
Question 10
4 / -1

Which of the following is/are not true,

A
if {f (x) + g (x)} is continuous at x = a, then f(x) and g(x) are both separately continuous at x = a.

B
If f(x) .g(x) is continuous at x = a, then f(x) and g(x) are separately continuous at x = a

C
If f(x). g(x) & f(x) are discontinuous at x = a then g(x) is continuous at x = a

D
if both f(x) and g(x) are discontinuous at x = a then f(x) + g(x) may not be discontinuous atx = a

Solution