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The number of rational point(s) [a point...

The number of rational point(s) [a point (a, b) is called rational, if `aa n db` both are rational numbers] on the circumference of a circle having center `(pi,e)` is

A

atmost one

B

atleast two

C

exactly two

D

infinite

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The correct Answer is:
A
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ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
  1. If P(2,8) is an interior point of a circle x^(2)+y^(2)-2x+4y-lamda=0 w...

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  2. If f(x)=overset(100)underset(n=1)prod(x-n)^(n(101-n) then find (f(101)...

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  3. The number of rational point(s) [a point (a, b) is called rational, if...

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  4. Find the sum of odd integers from 1 to 101

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  5. f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has e...

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  6. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

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  7. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

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  8. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

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  9. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

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  10. Find the number of point (x ,y) having integral coordinates satisfying...

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  11. The point ( [ P+1 ] , [ P ] ) (where [.] denotes the greatest intege...

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  12. A point P lies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. Th...

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  13. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

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  14. If a line segement A M=a moves in the plane X O Y remaining parallel t...

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  15. Show that the four points of intersection of the lines : (2x-y + 1) (x...

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  16. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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  17. Let f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

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  18. Find the points of intersection of the line 2x+3y=18 and the cricle x^...

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  19. Find the solution of trigonometric equation sin4x=1.

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  20. A, B C and D are the points of intersection with the coordinate axes o...

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