Mathematics - Online Test
Q1. Slope of any line parallel to X axis is
Answer : Option B
Explaination / Solution:
Since the angle made with x axis is zero, since tanθ is the slope. Then tan0 = 0
Hence the slpoe of the line parallel to X-axis is zero
Q2. Let p and q be two prepositions given by p : To become an airforce officer one should be graduate. q : To become an airforce officer one should have good health. The compound proposition “ To become an airforce officer one should be a graduate and should have good health “ is represented by
Answer : Option A
Explaination / Solution:
the statement before and is p .The statement after and is q.and is replaced by∧
Q3. is equal to
Answer : Option A
Explaination / Solution:
Note that is an odd function, therefore,
Q4. Unit Vector is
Answer : Option D
Explaination / Solution:
The vector whose magnitude is always 1 or unity is called a Unit Vector.
Q5. If P(A) = , P(B) = 0, then P(A|B) is
Answer : Option D
Explaination / Solution:
We know that :
which is not defined
which is not defined
Q6. When x=,x/2,then tan x, is
Answer : Option B
Explaination / Solution:
tan(π2)=sin(π2)cos(π2)=10=notdefined
Q7. is equal to
Answer : Option A
Explaination / Solution:
Q8. Let P ( n ) denote the statement is odd , It is seen that , therefore P ( n ) is true for all
Answer : Option A
Explaination / Solution:
Since if n = 1 the answer is 2 which is even . also p ( 1 ) = p ( 2 ) is also not true since p(2 ) is 6 which is even.
Q9. Two perpendicular tangents to the circle meet at P. The locus of P is
Answer : Option C
Explaination / Solution:
locus of P is a circle with centre at origin and radius .This is known as the director circle of the circle
Q10. Determine order and degree (if defined) of +sin(y’’’) = 0
Answer : Option A
Explaination / Solution:
Order = 4 , degree not defined , because the function y’’’ present in the angle of sine function.
