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c What is the distance of the point (6, 8) from the origin? c

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c What is the distance of the point (8a, a^{2}  16) from the origin? c

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c If the distance from the origin to the point (k, k + 5) is 25 units, then find the value of k. c

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c What is the distance between the points (5, 5) and (20, 25)? c

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c The distance between the points (5, 5) and (11, k) is 10 units. What are the values of k? c

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c If θ is a real number, then find the distance between the points (9sin 3θ, 9cos 3θ) and ( 9cos 3θ, 9sin 3θ). c

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c Find the distance between the points (6, 0) and (7, tan 8θ) for all real values of θ. c

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c The distance of the point (cot 6θ, 2) from (0, 3) is 2 units where 6θ is an acute angle. Find the value of θ. c

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c If a is any real number, then what is the distance from (2, 0) to (0, a)? c

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c What is the distance of the point (3, 4) from the xaxis? c

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c What is the distance of the point (5, 7) from yaxis? c

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c The three points A (7,  7), B (8, 8), C (9, 11) c

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c What is the distance between the points (4, 4) and (16, 20)? c

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c The quadrilateral formed by the points A (1, 4), B (5, 1), C (8, 5) and D (4, 8) is a c

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c If the distance from the origin to the point (k, k + 2) is 10 units, then find the value of k. c

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c What is the distance between the points (3, 3) and (12, 15)? c

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c The distance between the points (3, 4) and (9, k) is 10 units. What are the values of k? c

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c If θ is a real number, then find the distance between the points (2sin 4θ, 2cos 4θ) and ( 2cos 4θ, 2sin 4θ). c

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c Find the distance between the points (6, 0) and (7, tan 2θ) for all real values of θ. c

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c The distance of the point (cot 2θ, 6) from (0, 7) is 2 units where 2θ is an acute angle. Find the value of θ. c

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c If a is any real number, then what is the distance from (8, 0) to (0, a)? c

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c If A = (k, k), B = (3 + k, 4 + k), C = (4 + k, 3 + k) are any three points of a plane, then for all the real values of k which of the following is correct? c

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c a is any nonzero real number. If the distance between the points (a,  1a) and (1a, a) is d, then which of the following is true?. c

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c What is the distance of the point (6, 7) from the xaxis? c

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c What is the distance between the points (5, 5) and (20, 25)? c

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c What is the distance of the point (7, 9) from yaxis? c

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c The three points A (2,  2), B (3, 3), C (4, 6) c

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c The three points A (2, 1), B (5, 1) and C (2, 5) c

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c If k > 0, then the points A (4k, 6k), B (4k, 8k) and C (4k + 3k, 7k) are necessarily the vertices of c

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c What is the quadrilateral formed by the vertices A = ( 3, 0), B = ( 1,  3), C = (5, 1) and D = (3, 4) in order? c

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c If sin θ ≠ cos θ, then the triangle formed by the points A (sin θ, cos θ), B (cos θ, sin θ) and C (sin θ + cos θ, cos θ + sin θ) is ______. c

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c ABC is an isosceles triangle. If A = (x, y), B = (3, 1), C = (7,  2) then which of the following is the relation between x and y when BC is the base of the triangle? c

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c If the point P (x, x + 1) is equidistant from the points A (a + b, b  a) and B (a  b, a + b), then find the value of x for a ≠ b. c

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c If α > β > γ are any three real numbers, then the points A (α, β + γ), B (β, γ + α) and C (γ, α + β) are c

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c If t ≠ 0, then find the distance between the points (at^{2},  2at^{2}), (at2, 2at). c

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c A is a point on the curve y = x^{2} and B is a point on the curve y = x^{3}. If the x coordinate of A is 2 and y coordinate of B is 8, then what is the distance between A and B? c

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c In the triangle formed by the points A (4, 3), B (8, 7) and C (1, 6), the right angle is located at c

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c What is the distance of the point (12, 16) from the origin? c

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c What is the distance of the point (4y, y^{2}  4) from the origin? c

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