1.

If the joining the points (0,3) and (5,-2) is a tangent to the curve `y=(c)/(X+1),` then value of c is -A. 1B. -2C. 4D. -4

Answer» Correct Answer - 3
Equation of the line joining given points is
`(y+2)=(-2-3)/(5-0)(x-5)`
`rArry+2=-1(x-5)`
`rArry+x=3`
Solving with the curve `y=(c)/(x+1),` we get
`(3-x)(x+1)=c`
`rArrx^(2)-2x+c-3=0`
For equal roots `4-4(c-3)=0rArrc=4`


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