The curve given by `x+y=e^(x y)` has a tangent parallel to the y- axis at the point (a)`(0,1)` (b) `(1,0)` (c)`(1,1)` (d) none of these

The point on the curve y=x^(2) is the tangent parallel to X-axis is

The function x^x decreases in the interval (0,e) (b) (0,1) (0,1/e) (d) none of these

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a) (a , b) (b) (b ,a) (c) (-a ,-b) (d) none of these

The straight lines 4a x+3b y+c=0 , where a+b+c are concurrent at the point a) (4,3) b) (1/4,1/3) c) (1/2,1/3) d) none of these

The area bounded by the curve y=x^2+2 x+1 and tangent at (1,4) and y -axis is

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is -1 (b) 1 (c) 0 (d) none of these

If the line joining the points (0,3)a n d(5,-2) is a tangent to the curve y=C/(x+1) , then the value of c is 1 (b) -2 (c) 4 (d) none of these

At what points on the curve x^(2)+y^(2) - 2x -4y+1=0 the tangent is parallel to Y-axis.

Given g(x)=(x+2)/(x-1) and the line 3x+y-10=0. Then the line is (a)tangent to g(x) (b) normal to g(x) (c)chord of g(x) (d) none of these

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :