(c) x
x
y
11 y+= 1 (d) none of these- The equation of line passing through the point of
intersection of the lines 4x – 3y – 1 = 0 and 5x – 2y – 3 = 0
and parallel to the line 2y – 3x + 2 = 0, is
(a) x – 3y = 1 (b) 3x – 2y = 1
(c) 2x – 3y = 1 (d) 2x – y = 1 - Equation of the hour hand at 4 O’ clock is
(a) xy− 30 = (b) 30 xy− =
(c) xy+= 30 (d) 30 xy+=
- Equation of a straight line on which length of
perpendicular from the origin is four units and the line
makes an angle of 120° with the x-axis, is
(a) xy 380 ++= (b) xy^38 − =
(c) −xy 38 += (d) xy− 380 +=
- The equations of two lines through (0, a) which are
at distance ‘a’ units from the point (2a, 2a) are
(a) y – a = 0 and 4x – 3y – 3a = 0
(b) y – a = 0 and 3x – 4y + 3a = 0
(c) y – a = 0 and 4x – 3y + 3a = 0
(d) none of these - A line is such that its segment between the straight
lines 5x – y – 4 = 0 and 3x + 4y – 4 = 0 is bisected at the
point (1, 5), then its equation is
(a) 83x – 35y + 92 = 0
(b) 35x – 83y + 92 = 0
(c) 35x + 35y + 92 = 0
(d) none of these - The equations of the lines through the point of
intersection of the lines x – y + 1 = 0 and 2x – 3y + 5 = 0
and whose distance from the point (3, 2) is 7/5 is
(a) 3x – 4y – 6 = 0 and 4x + 3y + 1 = 0
(b) 3x – 4y + 6 = 0 and 4x – 3y – 1 = 0
(c) 3x – 4y + 6 = 0 and 4x – 3y + 1 = 0
(d) none of these - The number of lines that are parallel to
2 x + 6y + 7 = 0 and have an intercept of length 10
between the co-ordinate axes is
(a) 1 (b) 2
(c) 4 (d) infinitely many - The point P(a, b) lies on the straight line
3 x + 2y = 13 and the point Q(b, a) lies on the straight line
4 x – y = 5, then the equation of line PQ is
(a) x – y = 5 (b) x + y = 5
(c) x + y = –5 (d) x – y = –
18. Equation of a line passing through the point of
intersection of lines 2x – 3y + 4 = 0 and 3x + 4y – 5 = 0
and perpendicular to 6x – 7y + 3 = 0, then its equation
is
(a) 119x + 102y + 125 = 0
(b) 119x + 102y = 125
(c) 119x – 102y = 125
(d) none of these
19. The equation of the line bisecting perpendicularly
the segment joining the points (–4, 6) and (8, 8) is
(a) 6x + y – 19 = 0 (b) y = 7
(c) 6x + 2y – 19 = 0 (d) x + 2y – 7 = 0
20. The opposite angular points of a square are (3, 4)
and (1, –1). Then the co-ordinates of other two points are
(a) DB^1
29
21
25
2⎛⎜⎝ ,,⎟⎞⎠ ⎛⎝⎜− ,⎞⎠⎟(b) DB^1
29
21
25
2
⎝⎛⎜ ,, ,⎞⎠⎟ ⎛⎝⎜ ⎞⎠⎟(c) DB^9
21
21
25
2⎛⎜⎝ ,,⎟⎞⎠ ⎛⎝⎜− ,⎞⎠⎟(d) none of these- Two consecutive sides of a parallelogram are
4 x + 5y = 0 and 7x + 2y = 0. If the equation to one
diagonal is 11x + 7y = 9, then the equation of the other
diagonal is
(a) x + 2y = 0 (b) 2x + y = 0
(c) x – y = 0 (d) none of these - The equation of the lines on which the
perpendiculars from the origin make 30° angle with
x-axis and which form a triangle of area^50
3
with axes,
are
(a) xy+±= 3100 (b) 3100 xy+± =
(c) xy± 3100 − = (d) none of these- The base BC of a triangle ABC is bisected at the
point (p, q) and the equations to the sides AB and AC
are respectively px + qy = 1 and qx + py = 1. Then the
equation of the median through A is
(a) ()()()() 21 pq− px qy+ − 1 =+p^22 q − 1 qx+py− 1
(b) (p^2 + q^2 – 1)(px + qy – 1) = (2p – 1)(qx + py – 1)
(c) ()()()()pq−11 11px qy+ − =+p^22 q − qx+py−
(d) none of these - A straight line moves so that the sum of the
reciprocals of its intercepts on two perpendicular lines
is constant, then the line passes through