Let `O` be the origin. If `A(1,0)a n dB(0,1)a n dP(x , y)` are points such that `x y >0a n dx+y<1,` then `P` lies either inside the triangle `O A B` or in the third quadrant. `P` cannot lie inside the triangle `O A B` `P` lies inside the triangle `O A B` `P` lies in the first quadrant only

Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such that x y >0a n dx+y<1, then (a) P lies either inside the triangle O A B or in the third quadrant. (b) P cannot lie inside the triangle O A B (c) P lies inside the triangle O A B (d) P lies in the first quadrant only

Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such that x y >0a n dx+y<1, then (a) P lies either inside the triangle O A B or in the third quadrant. (b) P cannot lie inside the triangle O A B (c) P lies inside the triangle O A B (d) P lies in the first quadrant only

Let O be the origin, and let A (1, 0), B (0, 1) be two points. If P (x, y) is a point such that xygt0 and x+ylt1 then:

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

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)

If P(x , y) is any point on the line joining the point A(a ,0)a n dB(0, b), then show that x/a+y/b=1.

If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

Let (x , y) be such that sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/2dot Match the statements in column I with statements in column II Ifa=1a n db=0,t h e n(x , y) , (p) lies on the circle x^2+y^2=1 Ifa=1a n db=1,t h e n(x , y) , (q) l i e son(x^2-1)(y^2-1)=0 Ifa=1a n db=2,t h e n(x , y) , (r) lies on y=x Ifa=2a n db=2,t h e n(x , y) , (s) lies on (4x^2-1)(y^2-1)=0

Let (x , y) be such that sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/2dot Match the statements in column I with statements in column II Ifa=1a n db=0,t h e n(x , y) , (p) lies on the circle x^2+y^2=1 Ifa=1a n db=1,t h e n(x , y) , (q) l i e son(x^2-1)(y^2-1)=0 Ifa=1a n db=2,t h e n(x , y) , (r) lies on y=x Ifa=2a n db=2,t h e n(x , y) , (s) lies on (4x^2-1)(y^2-1)=0