`x^3+ y^3=8`, Number of straight lines through origin which do not meet this curve is

straight line passing through origin and inclined at 60^(@) the line sqrt(3)x+y=1 is

If the slope of the line through the origin which is tangent to the curve y=x^(3)+x+16 is m , then the value of m-12 is

If the slope of the line through the origin which is tangent to the curve y=x^(3)+x+10 is m , then the value of m-12 is

A pair of straight lines passing through origin and the point of intersection of the curve x^(2)+y^(2)=4 and the line x+y=a , are at right angle then the value of 'a' is

The total number of straight lines that pass through origin and are at a distance of 3 units from the line x + y = 6 is

If the slope of line through the origin which is tangent to the curve y=x^(3)+x+16 is m, then the value of m-4 is

Equation of the pair of straight lines through origin and perpendicular to the pair of straight lines 5x^2 - 7xy - 3y^2 = 0 is

Fouation of the pair of straight lines through origin and perpendicular to the pair of straight lines 5x^(2)-7xy-3y^(2)=0 is

The equation 3x^(2)+2hxy+3y^(2)=0 represents a pair of straight lines passing through the origin. The two lines are

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are