Instructions:

- Option shown in bold is the correct option visible to students. It might not be correct sometimes. So, while answering doubts, please check the question and option very carefully

- Answer the doubt only when you understand the doubt completely.

- Please note all the doubts should be up to the point and very well explained.

1) The locus of the equation 2 (x² + y² + z²) + 2x - 6y + 4z + 56 = 0

A a sphere
B a degenerate sphere
D The empty set
D Noire of these

Doubt : How ?

2) The solution set of

log_5/(x²+6)(13 + 4x² - 4x) = log_7+√x (- 2x - x²) is

A 9

B 16

C 81

none of these

Doubt :What is main thought for solving these question?

3) The nurnber of real roots of the equation (x - 1)² + (x - 2)² + (x - 3)² = 0 is

A 2

B 1

C 0

D 3

Doubt : how you got the answer. Show the steps.

4) Doubt : IF Y/X - Z = Y + X/Z = X/Y, FIND THE RATIOS OF X:Y:Z

5) Doubt : what is cis (Complex Numbers)

6)Question

Consider the equation |x -1||- 2|= λ. Which of the following statement(s) is rare true?

A. If the given equation has two solutions, then λ belongs to (2, ∞)∪{0}.

B. It the given equation has three solutions, then λ belongs to {2}.

C. The number of integral values of λ so that the given equation has four solutions, is 1.

D. If the given equation has two solutions, then λ belongs to (-∞, 2).

7) Doubt : Give me the exact formula of shortest distance

8) Let y = (sin^-1 x)³ + (cos^-1)³ x then .

A. min y = Π³/8
B. min y = Π³/32
C. min y = 7Π³/8
D. min y = 7Π³/32

9) Tips how can i stove a problem in few seconds.

10) The value of sin(2sin^-1 (0.8)) is equal to

A sin 1.2^o
B. sin 1.6^o
C. 4.48
D. 0.96