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

The coordinates of the point which divides the line segment joining the points (5,4,20 and (-1,-2,4) in the ratio 2:3 externally is (A) (13/5, 8/5, 14/5) (B) (17/5, 16/5, -2/5) (C) (17,16,-2-) (D) none of these

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

Ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (-2, 1) is (a) 3 : 5 (b) 4 : 6 (c) 4 : 9 (d)None of these

A point on the curve y=2x^(3)+13x+5x+9 the tangent at which,passes through the origin is

The ratio in which the plne y-1=0 divides the straighat line joining (1,-1,3) and (-2,5,4) is (A) 1:2 (B) 3:1 (C) 5:2 (D) 1:3

What is the reflection of the point (-3,1) in the line x =-2? (A) (-1,1) (B) (-3,-5) (c ) (1,1) (D) - 3,5)

If the fractions (2)/(5),(3)/(8),(4)/(9),(5)/(13) and (6)/(11) are arranged ascending order of their values, which one will be the fourth? (2)/(5) (b) (3)/(8)(c)(4)/(9) (d) (5)/(13) (e) None of these

(2x-13) / (5)-(x-3) / (11) = (x-9) / (5) +1