The intercepts on x-axis made by tangent...

The intercepts on x-axis made by tangents to the curve, `y=int_0^x|t|dt , x in R ,` which are parallel to the line `y""=""2x` , are equal to (1) `+-2` (2) `+-3` (3) `+-4` (4) `+-1`

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`y = int_0^x |t| dt`
`dy/dx = |x|= 2`
`x +- 2`
when `x=2`
`y = int_0^2 |t|dt`
`= |t|^2/2 = 2`
when `x=-2`
`y= - int_0^-2 |t| dt`
...

APPLICATION OF INTEGRALS
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|6 Videos

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