The equation of any plane parallel to x-axis (A) `ay+cz+b=0, a^2+b^2+c^2=0` (B) `x=a` (C) `ay+cz-bx=0, a^2+c!=0` (D) none of these

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

If A(-1, 0), B(1, 0) and C(3, 0) are three given points, then the locus of point D satisfying the relation DA^2 + DB^2 = 2DC^2 is (A) a straight line parallel to x-axis (B) a striaght line parallel to y-axis (C) a circle (D) none of these

The statement (a+i b)<(c+i d) is true for a^2+b^2=0 (b) b^2+d^2=0 b^2+c^2=0 (d) None of these

The area of a parallelogram formed by the lines a x+-b x+-c=0 is (a) (c^2)/((a b)) (b) (2 c^2)/((a b)) (c) (c^2)/(2a b) (d) none of these

If expression x^2-4cx+b^2gt0 for all x epsilon R and a^2+c^2ltab then range of the function (x+a)/(x^2+bx+c^2) is (A) (0,oo) (B) (0,oo) (C) (-oo,oo) (D) none of these

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

The equation of the circle and its chord are respectively x^2 + y^2 = a^2 and x + y = a . The equation of circle with this chord as diameter is : (A) x^2 + y^2 + ax + ay + a^2 = 0 (B) x^2 + y^2 + 2ax + 2ay = 0 (C) x^2 + y^2 - ax - ay = 0 (D) ax^2 + ay^2 + x + y = 0

The planes x=0 and y=0 (A) are parallel (B) are perpendicular to each other (C) interesect in z-axis (D) none of these

distance between the parallel planes ax+by+ cz + d =0 and ax+by + cz + d' =0 is

Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R . Then (a) a+c^2 2b (c) a-3b+c^2 < 0 (d) none of these