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Find the equations of the medians of a triangle, the equations of whose sides are: `3x+2y+6=0,\ 2x-5y+4=0\ a n d\ x-3y-6=0`

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Find the equations of the medians of a triangle, the equations of whose sides are : 3x+2y+6=0, 2x−5y+4=0 and x−3y−6=0.

Find the coordinates o the vertices of a triangle, the equations of whose sides are: x+y-4=0,\ 2x-y+3=0\ a n d\ x-3y+2=0

Find the centre of the inscribed circle of the triangle the equations, of whose sides are y-15=0, 12y+5x=0 and 4y-3x=0 .

Find the orthocentre of the triangle the equations of whose sides are x+y=1,2x+3y=6 and 4x-y+4=0.

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Find the centroid and in-centre of the triangle, equations of whose sides are 3x-4y=0, 12 y + 5 x = 0 and y-15=0

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: (i) y=x ,\ \ y=2x and y+x=6 (ii) y=x ,\ \ 3y=x and x+y=8

The equation of the medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

Find the area of the triangle whose sides are: 3x-2y+1=0, 3x+y+4=0 and 3x-5y+34=0

Determine graphically the vertices of the triangle, the equations of whose sides are given below: (i) 2y-x=8,\ \ 5y-x=14 and y-2x=1 (ii) y=x ,\ \ y=0 and 3x+3y=10

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Find the area of triangle formed by the lines : y=0,\ x=2\ a n d\ x+2y...

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  2. Find the area of triangle formed by the lines :\ x+y-6=0,\ x-3y-2=0\ a...

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  3. Find the equations of the medians of a triangle, the equations of whos...

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  4. Prove that the lines y=sqrt3x+1,\ y=4\ n d\ y=-sqrt3x+2 form an equila...

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  5. Classify the following pairs of lines as coincident, parallel or in...

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  6. Classify the following pairs of lines as coincident, parallel or in...

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  7. Find the equation of the line joining the point (3,5) to the point of ...

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  8. Find the equation of the line passing through the point of intersectio...

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  9. Show that the area of the triangle formed buy the lines y=m1x , y=m2x\...

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  10. Prove that the lines sqrt(3)x+y=0,\ sqrt(3)y+x=0,\ sqrt(3)x+y=1\ a n d...

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  11. Find the equation of the line passing through the intersection of the ...

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  12. Prove that the lies 3x+y-14=0,\ x-2y=0\ n a d\ 3x-8y+4=0 are concurren...

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  13. If the lines a1x+b1y+1=0,\ a2x+b2y+1=0\ a n d\ a3x+b3y+1=0 are concurr...

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  14. Show that the following lines are concurrent: L1=(a-b)x+(b-c)y+(c-a)=0...

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  15. Prove that the following sets of three lines are concurrent: 15 x-18 y...

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  16. Prove that the following sets of three lines are concurrent: x/a+y/b=1...

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  17. For what value of lambda are the three lines 2x-5y+3=0,\ 5x-9y+lambda=...

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  18. Find the conditions that the straight lines y=m1x+c1, y=m2x+c2a n d\ y...

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  19. Show that the straight lines L1=(b+c)x+a y+1=0,\ L2=(c+a)x+b y+1=0\ n ...

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  20. If the three lines a x+a^2y+1=0,\ b x+b^2y+1=0\ a n d\ c x+c^2y+1=0 ar...

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