The point on the line `3x-2y=1` which is closest to the origin is
(A) `(3/13, - 2/13)` (B) `(5/11, 2/11)` (C) `(3/5, 2/5)` (D) none of these

A point on the ellipse x^2+3y^2=37 where the normal is parallel to the line 6x-5y=2 is (5,-2) (b) (5, 2) (c) (-5,2) (d) (-5,-2)

A point on the line (x-1)/1=(y-2)/2=(z+1)/3 at a distance sqrt(6) from the origin is (A) ((-5)/7, (-10)/7,13/7) (B) (5/7,10/7,(-13)/7) (C) (1,2,-1) (D) (-1,-2,1)

( 1+3+5+7+9+11 )^ (3/2) = (a)36 (b) 216 (c)256 (d) none of these

The reciprocal of the fraction 2 3/5 is (a) 2 5/3 (b) (13)/5 (c) 5/(13) (d) 2 2/5

The ends of a diagonal of a square are (2,-3) and (-1,1)dot Another vertex of the square can be (a) (-3/2,-5/2) (b) (5/2,1/2) (c) (1/2,5/2) (d) none of these

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

Which of the following are like fractions? (a) 3/5,3/7,3/(11),3/(16) (b) 5/(11),7/(11),(15)/(11),2/(11) (c) 2/3,3/4,4/5,6/7 (d) None of these

The distance of point (-1, -5, -10) from the plane 10 x+2y-z=0 measured parallel to the line x/3=(y-1)/4=(z+1)/(12) is: (A) 10sqrt(2) (B) 5 (C) 11 (D) none of these

Which of the following numbers are twin primes? (a) 3, 5 (b) 5, 11 (c) 3, 11 (d) 13, 17

Direction ratios of the normal to the plane passing through the points (2,1,3) and the line of intersectionof the planes x + 2y + z = 3 and 2x -y-z = 5 are (A) 13, 6, 1 (B) 4, 3, 2 (C) 4, 3, 2 (D) none