If `A=[(3 ,x), (y ,5)]` and `A=A^T` then (A)x=0,y=5 (B)x+y=5 (C)x=y (D)none of these

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

Equation of the bisector of angle B of the triangle ABC is y=x. If A is (2,6) and B is (1,1); equation of side BC is (A)2x+y-3=0 (B) x-5y+4=0 (C) x-6y+5=0 (D) none of these

The equaiton of the line perpendicular to 2x+6y+5=0 and having the length of x-intercept equal to 3 units can be (A) y=3x+5 (B) 2y=6x+1 (C) y=3x+9 (D) none of these

Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6). (a)5x-y+20=0 (b)6x-4y=9 (c)3x-5y-9=0 (d)None of these

Area of the region bounded by the curves y=x^2+2, y=-x, x=0 and x=1 is (A) 3/6 (B) 5/6 (C) 17/6 (D) none of these

The equation of the bisector of the acute angle between the lines 2x-y+4=0 and x-2y=1 is (a) x-y+5=0 (b) x-y+1=0( c) x-y=5 (d) none of these

Area common to the curves y=x^3 and y=sqrt(x) is (A) 5/12 (B) 5/4 (C) 5/2 (D) none of these

Find the equation of a line passing through point (5, 1) and parallel to the line 7x – 2y + 5 = 0. (a)7x-2y-33=0 (b)6x-8y=0 (c)5x-8y-9=0 (d)None of these

If x,y in (0,30) such that [x/3]+[(3pi)/2]+[y/2]+[(3pi)/4]=11/6x+5/4 y (where {x} denotes greatest integer <=x ) number of ordered pairs (x, y) is (A) 0 (B) 2 (C) 4 (D) none of these

Equation of the tangents to the hyperbola 2x^(2)-3y^(2)=6 which are parallel to the line y=3x+4 is (A)y=3x+-5(B)y=3x+-6 (C) y=3x+-7 (D) None of these