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Equation of Tangent at a Point (x,y) in Terms of f'(x)

the point of ...

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the point of intersection of the straight line 3x+5y=1 and (2+c)x+5c^2y=1 where c not equal to 1 and -3/2, is

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Q. The limiting position of the point of intersection of the straight lines 3x + 5y = 1 and

(2 + c) x + 5 c^{2} y = 1

as c tends to one is:

Q. The limiting position of the point of intersection of the lines

3 x + 4 y = 1

(1 + c) x + 3 c^{2} y = 2

c \to 1

Q. The limiting position of the point of intersection of the lines

3 x + 4 y = 1

(1 + c) x + 3 c^{2} y = 2

c

1

Q. A variable straight line is drawn through the point of intersection of the straight lines

\frac{x}{2} + \frac{y}{3} = 1

\frac{x}{3} + \frac{y}{2} = 1

and meets the coordinate axes at

A

B

. Then the locus of the mid-point of

A B

Q. Find the equation of the straight line passing through the point of intersection of the straight lines

5 x - 6 y = 1

3 x + 2 y + 5 = 0

and is perpendicular to the straight line

3 x - 5 y + 11 = 0

.

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Equation of Tangent at a Point (x,y) in Terms of f'(x)

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