Mathematics Test 246

Result

Mathematics Test 246

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Question 1
4 / -1

The real number k for which the equation, 2x³+ 3x + k = 0 has two distinct real roots in [0,1]

A
lies between 2 and 3

B
lies between 1 and 0

C
does not exist

D
lies between 1 and 2

Solution
Question 2
4 / -1

A
1/2

B
1

C
2

D

Solution
Question 3
4 / -1

then the point represented by the complex number z lies:

A
either on the real axis or on a circle passing through the origin.

B
on a circle with centre at the origin.

C
either on the real axis or on a circle not passing through the origin.

D
on the imaginary axis

Solution
Question 4
4 / -1

If the coefficients of x³ and x⁴ in the expansion of (1+ ax + bx²) (1 − 2x)¹⁸in powers of x are both zero, then (a,b) is equal to:

A

B

C

D

Solution
Question 5
4 / -1

If 100 times the 100^th term of an AP with non zero common difference equals the 50 times its 50^th term, then the 150^th term this AP is:

A
−150

B
150 times its 50^th term

C
150

D
0

Solution
Question 6
4 / -1

A
-1

B
2/9

C

D
0

Solution
Question 7
4 / -1

If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3 : 2, then k equals:

A
29/5

B
5

C
6

D
11/5

Solution

Calculation

Let the point be G(h,k′). Then the co-ordinates of the point will be given by section formula.
Question 8
4 / -1

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more elements is

A
200

B
219

C
211

D
256

Solution
Question 9
4 / -1

A
Infinite number of real roots.

B
No real roots

C
Exactly one real root

D
Exactly four real roots

Solution
Question 10
4 / -1

A

B

C

D

Solution