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The four point of intersection of the li...

The four point of intersection of the lines `( 2x -y +1) ( x- 2y +3) = 0` with the axes lie on a circle whose center centre is at the point `:`

A

`(3//4, 5//4)`

B

`(-7//4, 5//4)`

C

(2, 3)

D

none

Text Solution

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The correct Answer is:
B
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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the two curves ax^(2) +2hxy +by^(2) +2g x+2fy +c=0 and d x^(2) +2...

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  2. One of the limit point of the coaxial system of circles containing x^...

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  3. The four point of intersection of the lines ( 2x -y +1) ( x- 2y +3) =...

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  4. If the lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 cut the co-ordi...

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  5. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  6. If alpha, beta, gamma,delta be four angles of a cyclic quadrilateral t...

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  7. P, Q, R and S are the points of intersection with the co-ordinate axes...

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  8. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  9. The two lines through (2,3) from which the circle x^(2)+y^(2)=25 inter...

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  10. The common chord of x^(2)+y^(2)-4x-4y=0 and x^(2)+y^(2)=16 subtends at...

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  11. The length of the common chord of the circles (x-a)^(2)+(y-b)^(2)=c^(2...

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  12. Let L(1) be a straight line passing through the origin and L(2) be th...

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  13. Length of common chord of the circles x^(2)+y^(2)+ax +by+c=0 and x^(2...

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  14. The distance of the point (1, 2) from the common chord of the circles ...

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  15. Radius of the circle with centre (3,1) and cutting a chord of length 6...

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  16. The equation of the circle described on the common chord of the circle...

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  17. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. E...

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  18. Centre of a circle passing through point (0,1) and touching the curve ...

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  19. A variable circle is described to pass through the point (a, 0) and to...

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  20. The equation of tangent drawn from origin to the circle x^(2)+y^(2)-2a...

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