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Class 11
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Maths
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NCERT: Mathematics
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Straight lines
straight lines
Browse All Exercises
Exercise 10.1
Exercise 10.2
Exercise 10.3
Miscellaneous Exercise
Exercise
Draw a quadrilateral in the Cartesian plane, whose vertices are
$(−4,5),(0,7),(5,−5)$
and
$(−4,−2)$
. Also, find its area.
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>
Find the value of
$x$
for which the points
$(x,−1),(2,1)$
and
$(4,5)$
are collinear.
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>
Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points
$P(0,−4)$
and
$B(8,0).$
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>
Find the angle between the
$x$
-axis and the line joining the points
$(3,−1)$
and
$(4,−2)$
.
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>
Find a point on the
$x$
-axis, which is equidistant from the points
$(7,6)$
and
$(3,4)$
.
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>
Without using the Pythagoras theorem, show that the points
$(4,4),(3,5)$
and
$(1,1)$
are the vertices of a right angled triangle
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>
Find the distance between
$P$
$(x_{1},y_{1})$
and
$Q$
$(x_{2},y_{2})$
when
i)
$PQ$
is parallel to the
$y$
-axis,
ii)
$PQ$
is parallel to the
$x$
-axis.
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>
Find the slope of the line, which makes an angle of
$30_{o}$
with the positive direction of
$y$
-axis measured anticlockwise.
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>
The base of an equilateral triangle with side
$2a$
lies along the
$y$
-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
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>
Without using distance formula, show that points
$(−2,−1),(4,0),(3,3)$
and
$(−3,2)$
are the vertices of a parallelogram
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>
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