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The orthocentre of the triangle formed b...

The orthocentre of the triangle formed by the lines `x y=0` and `x+y=1` is `(1/2,1/2)` (b) `(1/3,1/3)` `(0,0)` (d) `(1/4,1/4)`

A

(1/2,1/2)

B

(1/3,1/3)

C

(0,0)

D

(1/4,1/4)

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. If the foot of the perpendicular from the origin to a straight line is...

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  2. A rectangle has two opposite vertices at the points (1,2) a n d (5,5)....

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  3. The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is...

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  4. A line passes through the point (2,2) and is perpendicular to the line...

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  5. A line passes through (2, 2) and is perpendicular to the line 3x+y=3. ...

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  6. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

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  7. A line passes through the point of intersection of the line 3x+y+1=0 a...

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  8. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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  9. Find the image of the point (3,8) with respect to the line x+3y=7 assu...

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  10. If a!=b!=c write the condition for which the equations (b-c)x+(c-a)y+(...

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  11. The range of theta in the interval (0,pi) such that the points (3,5) a...

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  12. If P(sin theta, 1//sqrt(2)) and Q(1//sqrt(2), cos theta), -pi le theta...

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  13. If the point (1, alpha) always remains in the interior of the triangle...

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  14. Let ABC be an isosceles triangle with AB = BC. If base BC is parallel ...

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  15. If a, c, b are in G.P then the line ax + by + c= 0

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  16. If the intercept made on the line y=mx by lines y=2 and y=6 is less th...

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  17. If the line 3x+4y-24=0 intersects the x-axis at the point A and the ...

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  18. The sides of a quadrilateral are given by xy(x-2)(y-3)=0. The equatio...

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  19. · The co-ordinates of foot of the perpendicular from the point (2, 4) ...

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  20. Three vertices of a quadrilateral in order are (6,1)(7,2)" and "(-1,0)...

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