If `0<=x,y<=180^(@)` and `sin(x-y)=cos(x+y)=1/2` then the value of `x` and `y` are given by
(A) `x=45^(0), y=15^(0)`
(B) `x=45^(0), y=135^(0)`
(C) `x=165^(0), y=15^(0)`
(D) `x=165^(0), y=135^(0)`

In Figure, A B\ a n d\ C D are parallel lines and transversal E F intersects them at P\ a n d\ Q respectively. If /_A P R=25^0,\ /_R Q C=30^0a n d\ /_C Q F=65^0, then (a) x=55^0,\ y=40^0 (b) x=50^0,\ y=45^0 (c) x=60^0,\ y=35^0 (d) x=35^0,\ y=60^0

If one of the diagonals of a square is along the line x=2y and one of its vertices is (3, 0), then its sides through this vertex are given by the equations (A) y-3x+9=0, 3y+x-3=0 (B) y+3x+9=0, 3y+x-3=0 (C) y-3x+9=0, 3y-x+3=0 (D) y-3x+9=0, 3y+x+9=0

for every point (x,y,z) on the y-axis: (A) x=0,y=0 (B) x=0,z=0 (C) y=0,z=0 (D) y!=0,x=0,z=0

The equation of y-axis are (A) x=0,y=0 (B) x=0,z=0 (C) y=0,z=0 (D) none of these

Calculate the concentration of K^(o+) (x) and Cl^(ɵ) (y) in a solution obtained by mixing 20 " mL of " 0.1 M NaCl , 30 " mL of " 0.2 M KCl, and 25 " mL of " 0.15 M KNO_3 and making the solution up to 100 mL. (a). x=0.06,y=0.0375 (b). x=0.0975, y=0.08 (c). x=0.08,y=0.08 (d). x=0.08,y=0.0375

If A=[(5,x),( y,0)] and A=A^T , then a) x=0,\ \ y=5 (b) x+y=5 (c) x=y (d) none of these

What is the locus of a point for which (i) x =0, y =0 (ii) y =0, z =0 (iii) z =0, x =0 (iv) x =a, y =b (v) y =b, z =0 (vi) z =c, x =a ?

7x-15y-2=0 x+2y-3=0

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x-5y=20 to the circle x^2+y^2=9 is : (A) 20(x^2+y^2)-36x+45y=0 (B) 20(x^2+y^2)+36x-45y=0 (C) 20(x^2+y^2)-20x+45y=0 (D) 20(x^2+y^2)+20x-45y=0

The equation of the parabola whose focus is (1,-1) and the directrix is x+y+7=0 is (a) x^2+y^2-2x y-18 x-10 y=0 (b) x^2+y^2-18 x-10 y-45=0 (c) x^2-18 x-10 y-45=0 (d) x^2+y^2-2x y-18 x-10 y-45=0