Home
Class 12
MATHS
A normal is drawn at a point P(x,y) of a...

A normal is drawn at a point `P(x,y)` of a curve. It meets the x-axis at `Q` such that `PQ` is of constant length `k`. Answer the question:The differential equation describing such a curve is (A) `y dy/dx=+-sqrt(k^2-x^2)` (B) `x dy/dx=+-sqrt(k^2-x^2)` (C) `y dy/dx=+-sqrt(k^2-y^2)` (D) `x dy/dx=+-sqrt(k^2-y^2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

A normal is drawn at a point P(x , y) of a curve. It meets the x-axis at Qdot If P Q has constant length k , then show that the differential equation describing such curves is y(dy)/(dx)=+-sqrt(k^2-y^2) . Find the equation of such a curve passing through (0, k)dot

A normal is drawn at a point P(x , y) of a curve. It meets the x-axis at Qdot If P Q has constant length k , then show that the differential equation describing such curves is y(dy)/(dx)=+-sqrt(k^2-y^2) . Find the equation of such a curve passing through (0, k)dot

A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q such that PQ is of constant length k . Answer the question:If the curve passes through the point (0,k) , then its equation is (A) x^2-y^2=k^2 (B) x^2+y^2=k^2 (C) x^2-y^2=2k^2 (D) x^2+y^2=2k^2

If x=sqrt(1-y^2) , then (dy)/(dx)=

y= (a^2+x^2)/(sqrt(a^2-x^2)) then dy/dx=

dy/dx + sqrt(((1-y^2)/(1-x^2))) = 0

An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx and y(1) = 0 is

If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y) , prove that (dy)/(dx)= sqrt((1-y^2)/(1-x^2))

If sqrt(1-x^2) + sqrt(1-y^2)=a(x-y) , prove that (dy)/(dx)= sqrt((1-y^2)/(1-x^2))

Solution of differential equation (dy ) /( dx) +(x ) /( 1 - x^2) y= x sqrt(y) is