Class 11

Math

Co-ordinate Geometry

Straight Lines

Find the sum of the products of the corresponding terms of the sequence $16,32$ and $128,32,8,2,21 $

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Find equation of the line through the point (0, 2) making an angle $32π $with the positive xaxis. Also, find the equation of line parallel to it and crossing the xaxis at a distance of 2 units below the origin.

If the lines $2a+y3=0$, $5x+ky3=0$and $3xy2=0$are concurrent, find the value of k.

Find the direction in which a straight line must be drawn through the point $(−1,2)$so that its point of intersection with the line $x+y=4$ may be at a distance of 3 units from this point.

The equation of a line which is parallel to the line common to the pair of lines given by $6x_{2}−xy−12y_{2}=0$ and $15x_{2}+14xy−8y_{2}=0$ and at a distance of 7 units from it is $3x−4y=−35$ $5x−2y=7$ $3x+4y=35$ $2x−3y=7$

A person standing at the junction (crossing) of two straight paths represented by the equations $2x+3y+4=0$and $3x+4y−5$= 0 wants to reach the path whose equation is $6x−7y+8=0$in the least time. Find

Find the lines whose combined equation is $6x_{2}+5xy−4y_{2}+7x+13y−3=0$

Find the distance of the point $(3,−5)$from the line $3x−4y−26=0$.

Find the equation of a line perpendicular to the line $x−2y+3=0$and passing through the point $(1,2)$.