JEE Advanced Math Test 16

Result

JEE Advanced Math Test 16

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Weekly Quiz Competition

Question 1
4 / -1

Find the point p on the line 2x + 3y + = 0 such that |PA - PB| is maximum where A is (2,0) and B is (0,2)

A
(1, –1)

B
(7, –5)

C
(–2, 1)

D
(4, –3)

Solution

Thus the max value of |PA – PB| is AB

This is possible only when P lies on AB but P lies on AB

∴ P is the point of intersection of x + y = 2 and 2x + 3y + 1 = 0.
Question 2
4 / -1

Find the coefficient of x⁵ in the expansion of (2 – x + 3x²)⁶

A
–5049

B
5051

C
–5052

D
5050

Solution
Question 3
4 / -1

If tan3θ + tanθ = 2tan2θ then θ is equal to (n ∈ z)

A
nπ

B
nπ/4

C
2nπ

D
none of these

Solution

θ = nπ,n ∈ z or 2θ = nπ ∵ θ = nπ/2 is not for possible as n is odd tanθ is not define.

Hence θ = nπ, n ∈ z is the only solution.
Question 4
4 / -1

If x, y, z are respectively perpendiculars from the circumcenter to the sides of ΔABC, (a, b, c are usual meanings) then

A
tanA = a/2x

B
a/x + b/y + c/z = abc/4xyz

C
a/x tanA

D
Option A and option B are correct

Solution
Question 5
4 / -1

Which of the following is/are correct

A

B

C

D
Option A and option C are correct

Solution
Question 6
4 / -1

The angle between the lines whose direction cosine are connected by the relations ℓ –5m+3n=0 and 7 ℓ² + 5m² – 3n² = 0

A

B

C

D
Option B and option C are correct

Solution
Question 7
4 / -1

Area of the region bounded by the curve y=1/x + 1 , the tangent at P (2, 3/2) and the line x = 1 is

A
4/5 ℓn2

B
-5/4 ℓn3

C
-5/4 ℓn2

D
ℓn2 - 5/8

Solution

Plot the curve y - 1 = 1/x and translate the axis to get required area.
Question 8
4 / -1

Solution of the differential equation

A

B

C

D

Solution
Question 9
4 / -1

Angle between Length of longer diagonal of the parallelogram Length of longer diagonal of the parallelogram having adjacent sides represented by

A
√593

B
√26

C
15

D
none of these

Solution
Question 10
4 / -1

A number is selected at random from the set of natural numbers. The probability that the sum of the digits of its square is 39 is

A
1/6

B
0

C
1/10

D
1/9