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If tangents of slope 1 can be drawn to t...

If tangents of slope 1 can be drawn to the hyperbola `x^2/2-y^2/1=1` from any point `(2t,t^2)` then (A) `t=+-sqrt2`+1 (B) `t=2` (C) `t=2+sqrt2` (D) none of these

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If tangents of slope 1 can be drawn to the hyperbola x^2/2-y^2/1=1 from any point (2t,t^2). then (i) t=+-sqrt2+1 (ii)t=2 (iii)t=2+sqrt2 (iv) none of these

The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is

The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is