The equation of the line that touches the curves `y=x|x|` and `x^2+(y-2)^2=4` , where `x!=0,` is (a)`y=4sqrt(5)x+20` (b)`y=4sqrt(3)-12` (c)`y=0` (d) `y=-4sqrt(5)x-20`

Equation of a line which is tangent to both the curve y=x^(2)+1 and y=x^(2) is y=sqrt(2)x+(1)/(2) (b) y=sqrt(2)x-(1)/(2)y=-sqrt(2)x+(1)/(2)(d)y=-sqrt(2)x-(1)/(2)

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

" (d) "y=sqrt(3x^(2)+4x+5)

The equaiton of the line which bisects the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 (A) (4-sqrt(5))x-(3-2(sqrt(5)) y+ (2-4sqrt(5))=0 (B) (3-2sqrt(5)) x- (4-sqrt(5))y+ (2+4(sqrt(5))=0 (C) (4+sqrt(5)x-(3+2(sqrt(5))y+ (2+4(sqrt(5))=0 (D) none of these

The equation of the normal to the curve y=sqrt(x-3) , which is parallel to the curve 6x+3y-4=0 are

Find the equation of the tangent to the curve y=sqrt(4x-2) which is parallel to the line 4x-2y+5=0

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0