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The incentre of the triangle formed by t...

The incentre of the triangle formed by the lines `x+y=1,x=1,y=1` is

A

`(1-(1)/(sqrt(2)),1-(1)/(sqrt(2)))`

B

`(1-(1)/(sqrt(2)),(1)/(sqrt(2)))`

C

`((1)/(sqrt(2)),(1)/(sqrt(2)))`

D

`((1)/(sqrt(2)),1-(1)/(sqrt(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The incentre and excentres of the triangle formed by the lines x=0,y=0...

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  2. The incentre and excentres of the triangle formed by the lines 3x+4y=0...

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  3. The incentre of the triangle formed by the lines x+y=1,x=1,y=1 is

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  4. The point equidistant to the lines 4x+3y+10=0, 5x-12y+26=0, 7x+24y-50=...

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  5. The orthocentre of the triangle formed by (1, 0), (2, -4), (-5, -2) is

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  6. The orthocentre of the triangle formed by (0, 0), (3, 1), (1, 3) is

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  7. The orthocentre of the triangle formed by (1,-3),(6,1),(4,-1) is

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  8. The orthocentre of the triangle formed by (2, -1//2), (1//2, -1//2) an...

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  9. The orthocentre of the triangle formed by the lines x-2y+9=0,x+y-9=0,...

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  10. The orthocentre of the triangle formed by the lines x+y=6, 2x+y=4, x+2...

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  11. Find the orthocentre of the triangle whose sides are 4x-7y+10=0,x+y=...

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  12. The coordinates of the orthocentre formed by the lines y=m(i)x+(a)/(m(...

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  13. The equations to the sides of a triangle are x-3y=0, 4x+3y+5, 3x+y=0....

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  14. Two vertices of a triangle are (5, -1) and (-2, 3). If the centroid of...

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  15. If P, Q, R lie on xy=c^(2), then the orthocentre of DeltaPQR lies on

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  16. If the orthocentre of the triangle formed by the lines 2x+3y-1=0, x+2...

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  17. Let P(-1,0), Q(0,0) and R(3,3sqrt(3)) be three points. The equation of...

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  18. The base of an equilateral triangle x + y = 2 = 0 and opposite vertex...

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  19. The ends of the base of an isoceles triangle are at (2a, 0) and (0, a)...

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  20. The area of the triangle formed by the lines 2x+y-4=0, 3x+2y-5=0, x+y+...

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