Let a ,\ b ,\ c be parameters. Then the ...

Let `a ,\ b ,\ c` be parameters. Then the equation `a x+b y+c=0` will represent a family of straight lines passing through a fixed point iff there exists a linear relation between `a , b ,\ a n d\ c dot`

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ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 3

Locus of the point of intersection of lines x cosalpha + y sin alpha =...
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If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...
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If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurre...
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The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...
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If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct ...
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If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...
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The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...
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If the straight lines x+y-2=0,2x-y+1=0 and a x+b y-c=0 are concurrent,...
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The straight line through the point of intersection of ax + by+c=0 and...
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If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...
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Find the equations of the line through the intersection of 2x - 3y + 4...
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The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...
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The condition on a and b , such that the portion of the line a x+b y-1...
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If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 ...
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If the lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 (a, b,c being distinct...
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Find the equation of the straight line which passes through the inte...
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Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...
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Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...
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Prove that (-a,-a/2) is the orthocentre of the triangle formed by the ...
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