# Equation of the tangent line at x= a to the curve y= a log sec x/a is

1.  (y-a logsec 1) tan 1=x-a

2.  (x-a) tan 1=y-a log sec 1

3.  (x-a) cos 1=(y-alog sec 1) sin

4.  None

4
Correct Answer :

(x-a) tan 1=y-a log sec 1

Explanation :
No Explanation available for this question

# Equation of the tangent line at y=a/4 to the curve y(x2+a2)=ax2 is

1.  8y=-3√3x+a

2.  8y=3√3x+a

3.  8y=-3√3x-a

4.  None

4
Correct Answer :

8y=-3√3x-a

Explanation :
No Explanation available for this question

# The equation of the tangent to the curve y2=4ax at (at2, 2at) is

1.  x+yt-at2=0

2.   xt-y=2at+at3

3.  xt+y=2at+at3

4.  x-yt+at2=0

4
Correct Answer :

x-yt+at2=0

Explanation :
No Explanation available for this question

# The equation of the tangent to the curve y2=x3/2a-x at (a, a) is

1.  y+2x=a

2.  2x-y=a

3.  x+2y=3a

4.  2y-x=3a

4
Correct Answer :

2x-y=a

Explanation :
No Explanation available for this question

# The equation of the tangent to the curve x2/a2-y2/b2=1 at (a sec θ, b tan θ) is

1.

2.

3.

4.

4
Correct Answer :

Explanation :
No Explanation available for this question

# The tangent line at (a/√8, a√8) to the curve x2/3+y2/3=a2/3 is parallel to the line

1.  x=-y

2.  x=y

3.  x=0

4.  y=0

4
Correct Answer :

x=-y

Explanation :
No Explanation available for this question

# The equation of the tangent to the curve  (x/a)2/3+(y/b)2/3 =1 at (a cos3θ, b sin3θ ) is

1.  ax cos θ+by sinθ = a2cos4+b2sin4θ

2.  ax cosθ-by sinθ = a2cos4-b2sin4θ

3.  x/acosθ+y/bsinθ=1

4.  x/acosθ-y/bsinθ=1

4
Correct Answer :

x/acosθ+y/bsinθ=1

Explanation :
No Explanation available for this question

# Equation of the tangent at θ=π/4 to the curve x=acos 2θ, y= 2√2a sinθ is

1.  x+y=a

2.   x+y=2a

3.  y=x+2a

4.  None

4
Correct Answer :

x+y=2a

Explanation :
No Explanation available for this question

# The equation of the tangent to the curve √x+√y=5 at (9, 4) is

1.  2x-3y+30

2.   3x-2y-19=0

3.  2x+3y-30=0

4.  3x+2y+19=0

4
Correct Answer :

2x+3y-30=0

Explanation :
No Explanation available for this question

# The equation of the normal to the curve y=3x2+4x-6 at (1, 1) is

1.  X+10y-11=0

2.  x-10y+12=0

3.  X+y-9=0

4.  None

4
Correct Answer :

X+10y-11=0

Explanation :
No Explanation available for this question

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