1.

The point of intersection of the lines x-y+1=0 and x+y+5=0 is P. A circle with centre at (1, 0) passes through P. The tangent to the circle at P meets the x-axis at (k, 0).The value of k is :

Answer»

2
`-3`
`-2`
`-4`

Solution :`L_(1):X-y+1=0`
`L_(2):x+y+5=0`
`rArr""x= -3, y=-2`
`rArr""P-=(-3, -2)`
EQUATION of circle `(x-1)^(2)+y^(2)=20`
`rArr""x^(2)+y^(2)-2x-19=0`
Equation of tangent at P is
`rArr""2x+y+8=0`
`"PUT "y=0`
`rArr""x=-4`
`"Point is "(-4,0)`
`rArr""k=-4`


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