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1 . DISTANCE BETWEEN TWOPOINTS : If there are two points\( A (X_1,Y_1)\) and\( B (X_2,Y_2)\) on the XY plane, the distance between them is given by\( AB = d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Distance of the point\( P(x,y)\) from the origin O is\( OP =\sqrt{ (x^2+y^2)}\)
2 . The coordinates of\(P(X,Y)\) such that P divides the line joining A (X, Y1) and B (X2, Y2) internally I the ratio m : n will be :\(X=\frac{mX_2+nY_1}{m+n} ,Y=\frac{mY_2+nY_1}{m+n}\\
\)
3 . If\( P(X,Y)\) is the midpoint between A & B then\( X =\frac{ (X_1+ X_2)}{2} , Y =\frac{ (Y_1+ Y_2)}{2}\)
EQUATION OF ACURVE :
An equation in two variables X and Y (with or without a constant term) is called the equation of a particular curve if the graph of that equation plotted on the XY cartesian plane gives that particular curve. e.g.\( X^2 + Y^2 =36\) . If we plot this curve, by taking different values of Y (and thereby different values of X), we get a circle. Hence
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1 . DISTANCE BETWEEN TWOPOINTS : If there are two points\( A (X_1,Y_1)\) and\( B (X_2,Y_2)\) on the XY plane, the distance between them is given by\( AB = d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Distance of the point\( P(x,y)\) from the origin O is\( OP =\sqrt{ (x^2+y^2)}\)
2 . The coordinates of\(P(X,Y)\) such that P divides the line joining A (X, Y1) and B (X2, Y2) internally I the ratio m : n will be :\(X=\frac{mX_2+nY_1}{m+n} ,Y=\frac{mY_2+nY_1}{m+n}\\
\)
3 . If\( P(X,Y)\) is the midpoint between A & B then\( X =\frac{ (X_1+ X_2)}{2} , Y =\frac{ (Y_1+ Y_2)}{2}\)
EQUATION OF ACURVE :
An equation in two variables X and Y (with or without a constant term) is called the equation of a particular curve if the graph of that equation plotted on the XY cartesian plane gives that particular curve. e.g.\( X^2 + Y^2 =36\) . If we plot this curve, by taking different values of Y (and thereby different values of X), we get a circle. Hence
...
Statistics : Posted by carcass • on Mar 23, 2024 10:28 am • Replies 0 • Views 12
