The tangent at any point on the curve `x = at^3. y = at^4` divides the abscissa of the point of contact in the ratio m:n, then `|n + m|` is equal to (m and n are co-prime)

The tangent at any point f the curve x=at^3,y=at^4 divides the abscissa of the point of contact in the ratio

The subtangent at any point on the curve x^(m)y^(n)=a^(m+n) varies as

The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

The sub normals at any point of the curve y = x^(n) is constant. Then n=

Suppose a curve whose sub tangent is n times the abscissa of the point of contact and passes through the point (2, 3). Then

Suppose a curve whose sub tangent is n times the abscissa of the point of contact and passes through the point (2, 3). Then

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is__________

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact.Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is__________