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Class 11
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Maths
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Mathematics
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Straight Lines
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Straight lines
straight lines
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Exercise 10.1
Exercise 10.2
Exercise 10.3
Miscellaneous Exercise
Exercise
Find equation of line passes from point of intersection of perpendicular to the line
$x−7y+5=0$
and having
$x$
intercept
$3$
.
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>
If the equation of line parallel to the line
$3x−4y+2=0$
and passing through the point
$(−2,3)$
is
$3x−4y+k,$
value of
$k$
is
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>
Reduce the following equations into slope - intercept form and find their slopes and the
$y$
- intercepts.
(i)
$x+7y$
$=0$
(ii)
$6x+3y−5$
$=0$
(iii)
$y$
$=0$
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>
The line through the points
$(h,3)$
and
$(4,1)$
intersects the line
$7x−9y−19=0$
at right angle. Find the value of
$h$
.
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>
Find the distance between parallel lines
(i)
$15x+8y−34$
$=0$
and
$15x+8y+31=0$
(ii)
$(x+y)+p$
$=0$
and
$(x+y)−r=0$
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>
Find the points on the
$x$
-axis, whose distances from the line
$3x +4y =1$
are
$4$
units.
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>
Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive
$x$
-axis.
(i)
$x−3 y+8=0$
(ii)
$y−2=0$
(iii)
$x−y=4$
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>
Reduce the following equations into intercept form and find their intercepts on
the axes.
(i)
$3x+2y−12=0$
(ii)
$4x−3y=6$
(iii)
$3y+2=0$
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>
Find the angles between the lines
$3 x+y=1$
and
$x+3 y=1$
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>
Find the distance of the point
$(−1,1)$
from the line
$12(x+6)=5(y−2)$
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>
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