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If `A_1,A_2......A_n` are points on the line `y = x` lying in the positive quadrant such that `OA_n=n.OA_(n-1),O` being the origin. If `OA_1 = 1` then the co-ordinates of `A_8` are `(3asqrt2,3asqrt2,)` where a is equal to

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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
  1. When origin is shifted to the point (4, 5) without changing the direct...

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  2. A(a+1, a-1), B(a^(2)+1, a^(2)-1) and C(a^(3)+1,a^(3)-1) are given poin...

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  3. Vertices of a triangle are (0,0),(41alpha,37)and (-37,41beta), where ...

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  4. If O is the origin anf A(n) is the point with coordinates (n,n+1) then...

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  5. Two point B(x(1), y(1)) and C(x(2), y(2)) are such that x(1), x(2) are...

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  6. L is a line passing through the origin and making an angle theta with ...

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  7. L(1) is a line passing through the point A(n,n+1) having slope, n, L(2...

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  8. A variable plane at a distance of 1 unit from the origin cuts the axes...

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  9. For every interger n, a line L(n) is drawn through the point P(n)(n, n...

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  10. Line 4x+5y-7=0 meets the coordinate axes at A and B. Through the mid -...

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  11. A(1), A(2) are two arithmetic means between two positive real numbers ...

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  12. Reflection of the point A (5, 12) in the line y=x tan theta is P(alpha...

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  13. If area of the parallelogram formed by the lines x+3y-a=0, 3x-2y+3a=0,...

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

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  15. Lines x=n, y=n^(3) intersect at the point A(n).L(n) is a line through ...

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  16. The straight lines L = x+y+1=0 and L1 =x+2y+3 = 0 are intersecting,'m'...

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  17. If the coordinates of the orthocentre of the triangle formed by the li...

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  18. One diagonal of a square is the portion of the line x//97+y//79=1 inte...

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  19. A straight line passing through the point (87, 33) cuts the positive d...

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  20. If A1,A2......An are points on the line y = x lying in the positive qu...

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