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WBJEE
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Mathematics
List of top Mathematics Questions on Straight lines asked in WBJEE
A rectangle ABCD has its side parallel to the line y=2x and vertices A,B,D are on y=1,x=1 and x=-1 respectively. The coordinate of C can be
WBJEE - 2023
WBJEE
Mathematics
Straight lines
If 4a
2
+9b
2
-c
2
+12ab=0, then the family of straight lines ax+by+c=0 is concurrent at
WBJEE - 2023
WBJEE
Mathematics
Straight lines
A letter lock consists of three rings with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts to open the lock, Then
WBJEE - 2023
WBJEE
Mathematics
Straight lines
The straight lines x+2y-9=0, 3x+5y-5=0, and ax+by-1=0 are concurrent if the straight line 35x-22y+1=0 passes through the point:
WBJEE - 2023
WBJEE
Mathematics
Straight lines
A variable line passes through the fixed point ($\alpha,\,\beta$). The locus of the foot of the perpendicular from the origin on the line is,
WBJEE - 2019
WBJEE
Mathematics
Straight lines
Let $d_1$ and $d_2$ be the lengths of the perpendiculars drawn from any point of the line $7x - 9y + 10 = 0$ upon the lines $3x + 4y = 5$ and $12x + 5y = 7$ respectively. Then
WBJEE - 2017
WBJEE
Mathematics
Straight lines
The point
$P \,(3, 6)$
is first reflected on the line
$y = x$
and then the image point
$Q$
is again reflected on the line
$y = - x$
to get the image point
$Q'$
. Then the circumcentre of the
$\Delta PQQ'$
is
WBJEE - 2017
WBJEE
Mathematics
Straight lines
Let $A(2, -3)$ and $B (-2, 1)$ be two angular points of $\Delta ABC$. If the centroid of the triangle moves on the line $2x + 3y = 1$, then the locus of the angular point $C$ is given by
WBJEE - 2017
WBJEE
Mathematics
Straight lines
Transforming to parallel axes through a point $(p, q)$, the equation $2x^2 + 3xy + 4y^2 + x + 18y + 25 = 0$ becomes $2x^2 + 3xy + 4y^2 = 1$. Then
WBJEE - 2017
WBJEE
Mathematics
Straight lines
A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6. Then its locus is
WBJEE - 2013
WBJEE
Mathematics
Straight lines
The number of integer values of
$m$
, for which the
$x$
-coordinate of the point of intersection of the lines
$3x + 4y = 9$
and
$y = mx + 1$
is also an integer, is
WBJEE - 2012
WBJEE
Mathematics
Straight lines
If the three points
$A(1,6), B(3, -4)$
and
$C(x, y)$
are collinear then the equation satisfying by
$x$
and
$y$
is
WBJEE - 2011
WBJEE
Mathematics
Straight lines
A line through the point
$A(2, 0)$
which makes an angle of
$30^{\circ}$
with the positive direction of
$x$
-axis is rotated about
$A$
in clockwise direction through an angle
$15^{\circ}$
. Then, the equation of the straight line in the new position is
WBJEE - 2009
WBJEE
Mathematics
Straight lines
The coordinates of the foot of the perpendicular from
$(0,0)$
upon the line
$x + y = 2$
are
WBJEE - 2009
WBJEE
Mathematics
Straight lines
The equation 8x
2
+ 12y
2
– 4x + 4y – 1 = 0 represents
WBJEE
Mathematics
Straight lines
If A and B are two matrices such that A+B and AB are both defined, then
WBJEE
Mathematics
Straight lines
The equation of the locus of the point of intersection of the straight lines x sin θ + (1 – cos θ) y = a sin θ and x sin θ – (1 + cos θ) y + a sin θ = 0 is
WBJEE
Mathematics
Straight lines
If
x
2
+
y
2
=
4
,
then
y
d
y
d
x
+
x
=
WBJEE
Mathematics
Straight lines
The angle between the straight lines
x
−
y
3
=
5
and
3
x
+
y
=
7
is
WBJEE
Mathematics
Straight lines
∫
0
π
/
2
cot
x
cot
x
+
tan
x
dx is equal to
WBJEE
Mathematics
Straight lines
If [x] denotes the greatest integer x, then
[
2
3
]
+
[
2
3
+
1
99
]
+
[
2
3
+
2
99
]
+
…
.
.
+
[
2
3
+
98
99
]
is equal to
WBJEE
Mathematics
Straight lines