Home
Class 12
MATHS
[" If "p,x(1),x(2),x(3),.....&q,y(1),y(2...

[" If "p,x_(1),x_(2),x_(3),.....&q,y_(1),y_(2),y_(3)..." form two infinite A.P's with common difference a and b "],[" respectively then the locus of "P(alpha,beta)" where "alpha=(x_(1)+x_(2)+...+x_(n))/(n),beta=(y_(1)+y_(2)+...+y_(n))/(n)],[[" (A) "a(x-p)=b(y-1)," (B) "p(x-a)=q(y-b)],[" (C) "p(x-p)=b|x-q|," (D) "b(x-p)=a(y-q)]]

Promotional Banner

Similar Questions

Explore conceptually related problems

If p,x_(1),x_(2),x_(3)... and q,y_(1),y_(2),y_(3),... from two infinite AP's with common difference a and b respectively.Then locus of p(alpha,beta) where alpha=((1)/(n))[x_(1)+x_(2)+x_(3)+...+x_(n)] and beta=((1)/(n))[y_(1)+y_(2)+y_(3)+...y_(n)] is

If a,x_(1), x_(2), x_(3) …..and b, y_(1), y_(2) , …..form two infinite A.P's with common difference p and q respectively then the locus of P(h, k) when h=(x_(1)+x_(2)+x_(3)……+x_(n))/(n) , k=(y_(1)+y_(2)+……..+y_(n))/(n) is

If a,x_(1),x_(2),x_(3),... .and b,y_(1),y_(2)...... form two infinite geometric prograssions with same common ratio 'r' then the locus of p(h,k) when h=root(n)(x_(1)x_(2)...x_(n)) and k=root(n)(y_(1)y_(2)..... y_(n)) is.

If a, x_1, x_2, …, x_k and b, y_1, y_2, …, y_k from two A. Ps with common differences m and n respectively, the the locus of point (x, y) , where x= (sum_(i=1)^k x_i)/k and y= (sum_(i=1)^k yi)/k is: (A) (x-a) m = (y-b)n (B) (x-m) a= (y-n) b (C) (x-n) a= (y-m) b (D) (x-a) n= (y-b)m

If a,x_1,x_2,.... and b,y_1,y_2... form two infinite G.P's with same common ratio 'r' then the locus of P(h,k) when h= (x_1x_2x_3...x_n)^(1/n) and k=(y_1y_2y_3.....y_n)^(1/n) is

p,x_(1), x_(2) ,. . . x_(n) and q, y_(1),y_(2), . . . ,y_(n) are two arithmetic progressions with common differences a and b respectively. If alpha and beta are the arithmetic means of x_(1), x_(2), . . . . x_(n), and y_(1), y_(2), . . . . y_(n) respectivley . then the locus of p(alpha, beta) is

p,x_(1), x_(2) ,. . . x_(n) and q, y_(1),y_(2), . . . ,y_(n) are two arithmetic progressions with common differences a and b respectively. If alpha and beta are the arithmetic means of x_(1), x_(2), . . . . X_(n), and y_(1), y_(2), . . . . Y_(n) respectivley . then the locus of p(alpha, beta) is

If x_(1),x_(2),x_(3), are in A.P.and y_(1),y_(2),y_(3), are also in A.P.with same common difference then the points (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) form