If the points `A(3,\ 5)a n d\ B(1,\ 4)` lie on the graph of the line `a x+b y=7,` find the values of `a\ a n d\ b`

If the ordered pairs (x ,-1) and (5, y) belong to the set {(a , b): b=2a-3} , find the values of x\ a n d\ ydot

If three points A(h ,0),\ P(a , b)a n d\ B(0, k) lie on a line, show that: a/h+b/k=1.

If three points A(h ,0),\ P(a , b)a n d\ B(0, k) lie on a line, show that: a/h+b/k=1.

If the points A(m ,-1),\ B(2,1)a n d\ C(4,5) are collinear find the value of mdot

On a graph paper, mark the points A(-1,-1) and B(2,5) Draw a straight line passing through A and B. If points (m,4) and (0.5,n ) lie on this line , use graphical method of finding the values of m and n .

Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y) . Find the values of y.

If the points A(1,7),B(a,b) and C(5,-4) lie on a line such that B lies exactly in the middle of the both A and C, then the value of (a-b) is equal to

Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x+3y+9=0 . The coordinates of P such that |P A-P B| is maximum are (-(24)/5,(17)/5) (b) (-(84)/5,(13)/5) ((31)/7,(31)/7) (d) (0,0)

Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x+3y+9=0 . The coordinates of P such that |P A-P B| is maximum are (-(12)/5,(17)/5) (b) (-(84)/5,(13)/5) ((31)/7,(31)/7) (d) (,0)