MTH101 Solved Subjective

Q24. Evaluate the following limit Q # 1 Whether the given lines are (10 marks)

parallel, perpendicular or none of these?

1 ( 1) y x and y x

Solution:

1 ( 1) L y x

L y x 1 ( 1)

2 ( 3) L y x

y x

y x

y x

L y x

y x

y x

y x

) = -1

Q2. Let

x f x x  and g x x

f g x and g f x are equal or not?

Solution:

Here

x f x x  and g x x

f g x f g x

f g x f x

x f g x x

Also

3) g f x g f x

x g f x g x

x g f x x

x g f x x x

Hence ( f g x g f x

Q3. Determine whether the equation represents a circle, if

the equation represents a circle, find the center and radius?

x2 + 2x + y2 - 4y = 5