Home
Class 12
MATHS
A polynomial of degree 2 which takes val...

A polynomial of degree 2 which takes values `y_0,y_1,y_2` at points `x_0,x_1,x_2` respectively , is given by `p(x) = ((x-x_1)(x-x_2))/((x_0-x_1)(x_0-x_2)) y_0 + ((x-x_0)(x-x_2))/((x_1-x_0)(x_1-x_2)) y_1 + ((x-x_0)(x-x_1))/((x_2-x_0)(x_2-x_1)) y_2` A polynomial of degree 2 which takes values `y_0, y_0, y_1` at points `x_0, x_(0+t), x_1` `t!=0` is given by

Promotional Banner

Similar Questions

Explore conceptually related problems

Centre of the circle (x - x_(1)) (x-x_(2)) + (y-y_(1)) (y- y_(2)) = 0 is

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x_2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x_2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x_2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x^2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0

If the points (x_1, y_1),(x_2,y_2), and (x_3, y_3) are collinear show that (y_2-y_3)/(x_2x_3)+(y_3-y_1)/(x_3x_1)+(y_1-y_2)/(x_1x_2)=0

If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) be collinear, show that: (y_2 - y_3)/(x_2 x_3) + (y_3 - y_1)/(x_3 x_2) + (y_1 - y_2)/(x_1 x_2) = 0

If the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)) are collinear show that (y_(2)-y_(3))/(x_(2)x_(3))+(y_(3)-y_(1))/(x_(3)x_(1))+(y_(1)-y_(2))/(x_(1)x_(2))=0

If the image of the point (x_1, y_1) with respect to the mirror ax+by+c=0 be (x_2 , y_2) .