Class 11

Math

Co-ordinate Geometry

Straight Lines

Find the equation of the line parallel to yaxis and drawn through the point of intersection of the lines $x−7y+5=0$and $3x+y=0$.

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In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.

If $x_{2}+2hxy+y_{2}=0$ represents the equation of the straight lines through the origin which make an angle $α$ with the straight line $y+x=0$ (a)$sec2α=h$ $cosα$ (b)$=(2h)(1+h) $ (c)$2sinα$ $=h(1+h) $ (d) $cotα$ $=(h−1)(1+h) $

Find the new coordinates of point $(3,4)$ if the origin is shifted to (1, 2) by a translation.

Consider the following population and year graph, find the slope of the line AB and using it, find what will be the population in the year 2010?

$x+y=7$ and $ax_{2}+2hxy+ay_{2}=0,(a=0)$ , are three real distinct lines forming a triangle. Then the triangle is (a) isosceles (b) scalene equilateral (d) right angled

Find the values of k for which the line $(k−3)x−(4−k_{2})$$y+k_{2}−7k+6=0$is(a) Parallel to the xaxis,(b) Parallel to the y axis,(c) Passing through the origin.

The distance between the two lines represented by the equation $9x_{2}−24xy+16y_{2}−12x+16y−12=0$ is (a) $58 $ (b) $56 $ (c) $511 $ (d) none of these

If (-2,6) is the image of the point (4,2) with respect to line L=0, then L is: