Home
Class 12
MATHS
O is the origin and A is a fixed point o...

O is the origin and A is a fixed point on the circle of radius 'a' with centre O.The vector `vec O A` is denoted by `vec a` . A variable point P lie on the tangent at `A and vec OP-vec r.` Show that `vec a vec r=a^2.`Hence if `P(x, y) and A(x_1, y_1),` deduce the equation of tangent at A to this circle.

Promotional Banner

Similar Questions

Explore conceptually related problems

If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R are collinear.

A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the magnitude of vec r is 6 units, find vec rdot

vec a, vec b, vec c are three non-zero vectors. If o + be defined as vec x o + vec y = vec x + vec y + vec x xxvec y and

If P ,Q and R are three collinear points such that vec P Q= vec a and vec Q R = vec bdot Find the vector vec P R .

P(vec p) and Q(vec q) are the position vectors of two fixed points and R(vec r) is the position vectorvariable point.If R moves such that (vec r-vec p)xx(vec r-vec q)=0 then the locus of R is

P(vec p) and Q(vec q) are the position vectors of two fixed points and R(vec r) is the position vectorvariable point. If R moves such that (vec r-vec p)xx(vec r -vec q)=0 then the locus of R is

P(vec p) and Q(vec q) are the position vectors of two fixed points and R(vec r) is the position vectorvariable point. If R moves such that (vec r-vec p)xx(vec r -vec q)=0 then the locus of R is

P(vec p) and Q(vec q) are the position vectors of two fixed points and R(vec r) is the position vectorvariable point. If R moves such that (vec r-vec p)xx(vec r -vec q)=0 then the locus of R is

P(vec p) and Q(vec q) are the position vectors of two fixed points and R(vec r) is the position vectorvariable point. If R moves such that (vec r-vec p)xx(vec r -vec q)=0 then the locus of R is