tangents and normals

Tangents and Normals..

In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of dy/dx to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves...

In this chapter we have learnt the application of derivatives to rate measure, also we have used the geometrical measurement of to find the equations of the tangent and normal to a curve at any point on the curve, angle of intersection of the curves. The derivatives also help in..

Consider a block placed on a rough floor. Now, the reaction force is because it is equal and opposite to the weight . Now apply a horizontal force so that the block just begins to slide, i.e., the frictional force is equal to the limiting friction. When this condition is satisfied, the ang..

Let y = f(x) be a smooth curve and P(x,y) be a point on the curve. Equation of the tangent at (x 1 , y 1 ) in the curve y = f (x) is y - y 1 Equation of the normal..

and is of length p, is given by x cos a + y sin a = p. (Normal form) Every straight line has an equation of the form ax+by+c=0 and conversely an equation of the type ax+by+c=0 (a,b are both not equal to zero) always represents a straight line. Two lines are said to be inters..

The field lines are circles concentric with the wire. The magnitude of the magnetic field due to a N-turn circular coil of radius R carrying a current i at an axial distance x from the center is At the center this reduces to Ampere's Circuital Law : We have discussed a simplified form of this law. ..

> and covers a distance AB | = c 2 t. With A as centre and c 2 t as radius, draw an arc as shown. Repeat for points P and so on. The tangent to these arcs gives the reflected wavefront A | B | . One can prove that A | B | is the true refracted wave front by proving, BA | = BN + NA | = DP ..