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The three lines 4x - 7y + 10 , x + y = 5...

The three lines `4x - 7y + 10 , x + y = 5 and 7x+ 4y = 15 ` form the sides of a triangle Then the point (1,2) is its

A

centroid

B

incentre

C

orthocentre

D

None of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
  1. The four sides of a quadrilateal are given by xy(x-2)(y-3)=0. A line i...

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  2. The vertex C of a triangle ABC moves on the line L-=3x+4y+5=0. The c...

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  3. The three lines 4x - 7y + 10 , x + y = 5 and 7x+ 4y = 15 form the sid...

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  4. The equation of the base of an equilateral triangle is x+y=2 and the v...

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  5. The distance between the lines 4x+3y=11 and 8x+6y=15 is

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  6. The distance between the lines 3x+4y=9 and 6x+8y=15 is

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  7. A variable point (1+(lamda)/(sqrt(2)),2+(lamda)/(sqrt(2)))lies in betw...

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  8. The sum of the abscissas of all the point on the line x+y=4 that lie a...

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  9. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

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  10. Points on the line x+y=4 that lie at a unit distance from the line 4x+...

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  11. If 2p is the perpendicular distance from the origin to the line x/a+y/...

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  12. If a,b,c are in H.P then the straight line x/a+y/b+1/c=0 always passes...

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  13. Let the algebric sum of the perpendicular distance from the points (2,...

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  14. If a,b,c are related by 4a^(2)+9b^(2)-9c^(2)+12ab=0 then the greatest ...

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  15. If p and p' the lengths of perpendicular from origin to the lines x se...

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  16. If the sides of a square lie along the lines 5x-12y-65=0 and 5x-12y+26...

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  17. The equation of two sides of a square whose area is 25 sq. units are 3...

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  18. A and B are two fixed points. The vertex C of a DeltaBC moves such tha...

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  19. A variable line through (p,q) cuts the axes of co ordinates at A and B...

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  20. The line L given by x/5+y/b=1 passes through the point (13, 32). Th...

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