The number of tangents to the curve `x^(3/2)+y^(3/2)=2a^(3/2),a >0,` which are equally inclined to the axes, is 2 (b) 1 (c) 0 (d) 4

The number of tangents to the curve x^(2//3)+y^(2//3)=a^(2//3) which are equally inclined to the axes is

The portion of the tangent of the curve x^(2/3)+y^(2/3)=a^(2/3) ,which is intercepted between the axes is (a>0)

Find the point on the curve y=3x^(2)-9x+8 at which the tangents are equally inclined with the axes.

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

The total number of common tangents to the curve y^(2)=4ax and x^(2)+y^(2)-2ax=0 is

If the sum of the squares of the intercepts on the axes cut off by tangent to the curve x^((1)/(3))+y^((1)/(3))=a^((1)/(3)),a>0 at ((a)/(8),(a)/(8)) is 2, then a=1 (b) 2 (c) 4 (d) 8

If 4x-y=5 is tangent to curve ax^(3)=y^(2)+b at (2,3) ,then:

The tangent lines at (a,0),(0,a) on the curves x^(2/3)+y^(2/3)=a^(2/3) include an angle

Total number of tangents of the hyperbola (x^2)/9-(y^2)/4= 1, that are perpendicular to the line 5x+2y-3=0 are a) zero (b)2 (c) 4(d) none of these