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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 passikng through a fixed point iff there exists a linear relation between `a , b ,\ a n d\ cdot`

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Statement -1 : If a,b,c are parameters such that 3a + 2b+4c=0, then the family of lines ax +by+ c =0 pass through a fixed point (3,2). and Statement -2: The equation ax + by + c =0 wil represent a family of straight lines passing through a fixed point if there exist a linear relation between a, b and c.

Statement-1: All chords of the curve 3x^(2)-y^(2)-2x+4y=0 which subtend a right angle at the origin pass through a fixed point. Statement-2: The equation ax+by+c=0 represents a family of straight lines passing through a fixed point iff there is a linear relation between a, b and c.

Statement - 1 : If non-zero numbers a , b , c are in H.P. , then the equation (x)/(a) + (y)/(b) = (1)/(c) represents a family of concurrent lines . Statement- 2 : A linear equation px + qy = 1 in x , y represents a family of straight lines passing through a fixed point iff there is a linear relation between p and q .

If 3a+2b+c=0 the family of straight lines ax+by+c=0 passes through the fixed point (p, q) then p + q

If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

Find the equation of the straight line passing through the origin and the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1.

If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

If a,b and c are in AP, then the straight line ax+by+c=0 will always pass through a fixed point whose coordinates are

If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 3
  1. Locus of the point of intersection of lines x cosalpha + y sin alpha =...

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  2. If a, c, b are in AP the family of line ax + by + c = 0 passes through...

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  3. if the lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are...

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  4. The set of lines ax + by+ c= 0, where 3a+ 2b+ 4c =0, is concurrent at ...

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  5. 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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  6. If u=a1x+b1y+c1=0,v=a2x+b2y+c2=0, and (a1)/(a2)=(b1)/(b2)=(c1)/(c2), t...

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  7. The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent...

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  8. 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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  9. The straight line through the point of intersection of ax + by+c=0 and...

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  10. If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 a...

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  11. Find the equations of the line through the intersection of 2x - 3y + 4...

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  12. The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b...

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  13. The condition on a and b, such that the portion of the line ax+by-1=0 ...

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  14. If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 a...

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  15. Find the equation of the straight line which passes through the int...

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  16. Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will repr...

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  17. Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...

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