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
log5/(x2+6)(13 + 4x2 - 4x) = log7+√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 1.2o
B. sin 1.6o
C. 4.48
D. 0.96