Explore topic-wise MCQs in SRMJEEE .

This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your SRMJEEE knowledge and support exam preparation. Choose a topic below to get started.

1.	The equation of the tangent to the curve y = 4 + sin2 x at x =0 is
A.	y = 2
B.	y = 3
C.	y = 4
D.	y = 6
Answer» D. y = 6

Discussion

2.	The number of solutions of equations 3x2 + xsinx + cosx = 0
A.	3
B.	2
C.	1
D.	0
Answer» E.

Discussion

3.	The least natural number a for which x + ax–2 > 2 for all x Î R+
A.	1
B.	2
C.	5
D.	9
Answer» C. 5

Discussion

4.	The equation of tangent to curve y = e–\|x\| at the points where the curve cuts the line x = 1 is
A.	x+ y = e
B.	e (x + y) = 1
C.	y + ex = 1
D.	None of these
Answer» E.

Discussion

Explore topic-wise MCQs in SRMJEEE .

The&nbsp;equation&nbsp;of&nbsp;the&nbsp;tangent&nbsp;to&nbsp;the&nbsp;curve&nbsp;y&nbsp;=&nbsp;4&nbsp;+&nbsp;sin2&nbsp;x&nbsp;at&nbsp;x&nbsp;=0&nbsp;is

The&nbsp;number&nbsp;of&nbsp;solutions&nbsp;of&nbsp;equations&nbsp;3x2&nbsp;+&nbsp;xsinx&nbsp;+&nbsp;cosx&nbsp;=&nbsp;0

The&nbsp;least&nbsp;natural&nbsp;number&nbsp;a&nbsp;for&nbsp;which&nbsp;x&nbsp;+&nbsp;ax&ndash;2&nbsp;&gt;&nbsp;2&nbsp;for&nbsp;all&nbsp;x&nbsp;&Icirc;&nbsp;R+

The&nbsp;equation&nbsp;of&nbsp;tangent&nbsp;to&nbsp;curve&nbsp;y&nbsp;=&nbsp;e&ndash;|x|&nbsp;at&nbsp;the&nbsp;points&nbsp;where&nbsp;the&nbsp;curve&nbsp;cuts&nbsp;the&nbsp;line&nbsp;x&nbsp;=&nbsp;1&nbsp;is

The equation of the tangent to the curve y = 4 + sin2 x at x =0 is

The number of solutions of equations 3x2 + xsinx + cosx = 0

The least natural number a for which x + ax–2 > 2 for all x Î R+

The equation of tangent to curve y = e–|x| at the points where the curve cuts the line x = 1 is