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Question: The length of the chord 4y = 3x+8 intercepted by y<sup>2</sup> = 8x is...

The length of the chord 4y = 3x+8 intercepted by y2 = 8x is

A

80/9

B

40/9

C

20/9

D

70/9

Answer

80/9

Explanation

Solution

Length of the chord cut of by the parabola y2 = 4ax on the line is 4 m2a2amc1+m2\frac { 4 } { \mathrm {~m} ^ { 2 } } \sqrt { \mathrm { a } ^ { 2 } - \mathrm { amc } } \cdot \sqrt { 1 + \mathrm { m } ^ { 2 } } .

**∴**Required length of chord

= = 80/9