The equation of the tangent to the curve `y=b e^(-x//a)` at the point where it crosses the y-axis is `a)x/a-y/b=1` (b) `a x+b y=1` `c)a x-b y=1` (d) `x/a+y/b=1`

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

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

A circle with center (a , b) passes through the origin. The equation of the tangent to the circle at the origin is (a) a x-b y=0 (b) a x+b y=0 (c) b x-a y=0 (d) b x+a y=0

The equation of the line passing through the origin and the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 is

The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from the origin in (a) x=0 (b) x=y (c) y=0 (d) x+y=0

If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an angle tan^(-1)2 with x-axis, then find aa n db ?

The equation of the line passing through the center and bisecting the chord 7x+y-1=0 of the ellipse (x^2)/1+(y^2)/7=1 is (a) x=y (b) 2x=y (c) x=2y (d) x+y=0

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x_(0), y_(0)).

A curve is such that the mid-point of the portion of the tangent intercepted between the point where the tangent is drawn and the point where the tangent meets the y-axis lies on the line y=xdot If the curve passes through (1,0), then the curve is (a) ( b ) (c)2y=( d ) x^(( e )2( f ))( g )-x (h) (i) (b) ( j ) (k) y=( l ) x^(( m )2( n ))( o )-x (p) (q) (c) ( d ) (e) y=x-( f ) x^(( g )2( h ))( i ) (j) (k) (d) ( l ) (m) y=2(( n ) (o) x-( p ) x^(( q )2( r ))( s ) (t))( u ) (v)