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If the line `y=3x` meets the lines `x=1,x=2……….,x=12` at points `A_(1),A_(2)…….A_(12)` respectively then `(OA_(1))^(2),+(OA_(1))^(2)+....+(OA_(12))^(2)` is equal to `"___________".`

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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)
  1. If the circumcentre of the triangle whose vertices are (0, 2), (3, 5) ...

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  2. If Delta denotes the area of the triangle with vertices (0, 0), (5, 0)...

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  3. Vertices of a parallelogram are (0, 0), ((1)/(m-n), (m)/(m-n)), ((-1)/...

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  4. (p, q) is point such that p and q are integers, p ge 50 and the equati...

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  5. The co-ordinates of a point A(n) is (n,n,sqrtn) where n in N, If O(0,0...

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  6. The point P(a, b) is such that b-25a=4 and the arithmetic mean of a an...

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  7. The point (p, p+1) lies on the locus of the point which moves such tha...

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  8. If A(n)=(n, n+1), then 10(A(10)A(11))^(2)+11(A(11)A(12))^(2)+….+20(A(2...

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  9. If A denotes the area enclosed by 3|x|+4|y|le 12 then A is equal to

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  10. The locus of the mid - point of the portion intercepted between the ax...

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  11. If the point (3, 4) lies on the locus of the point of intersection of ...

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  12. The coordinates of the feet of the perpendiculars from the vertices of...

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  13. Through the point p (3, -5), a line is drawn inclined at 45 with the p...

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  14. If P(1,2), Q(a, b), R(5, 7) and S (2, 3) are the vertices of a paralle...

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  15. The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...

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  16. Sum of the squares of the lengths of the perpendiculars of a point P o...

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  17. If the line whose equation is 9x-2ky+k=0 passes through intersection o...

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  18. The equations of tangents to the ellipse 9x^2+16y^2=144 from the point...

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  19. P and Q are the points of intersection of the curves y^(2)=4x and x^(2...

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  20. If the line y=3x meets the lines x=1,x=2……….,x=12 at points A(1),A(2)…...

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