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Solved Examples
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fff What is the distance of the point (6, 8) from the origin?
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fff What is the distance of the point (8a, a2 - 16) from the origin?
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fff If the distance from the origin to the point (k, k + 5) is 25 units, then find the value of k.
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fff What is the distance between the points (5, 5) and (20, 25)? fff View Solution
fff The distance between the points (5, 5) and (11, k) is 10 units. What are the values of k? fff View Solution
fff If θ is a real number, then find the distance between the points (9sin 3θ, 9cos 3θ) and (- 9cos 3θ, 9sin 3θ). fff View Solution
fff What is the distance between the points (4, 4) and (16, 20)? fff View Solution
fff Find the distance between the points (6, 0) and (7, tan 8θ) for all real values of θ. fff View Solution
fff 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. fff View Solution
fff If a is any real number, then what is the distance from (2, 0) to (0, a)? fff View Solution
fff What is the distance of the point (3, 4) from the x-axis? fff View Solution
fff What is the distance of the point (5, 7) from y-axis? fff View Solution
fff The three points A (7, - 7), B (8, 8), C (9, 11) fff View Solution
fff The quadrilateral formed by the points A (1, 4), B (5, 1), C (8, 5) and D (4, 8) is a fff View Solution
fff If the distance from the origin to the point (k, k + 2) is 10 units, then find the value of k.
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fff What is the distance between the points (3, 3) and (12, 15)? fff View Solution
fff The distance between the points (3, 4) and (9, k) is 10 units. What are the values of k? fff View Solution
fff If θ is a real number, then find the distance between the points (2sin 4θ, 2cos 4θ) and (- 2cos 4θ, 2sin 4θ). fff View Solution
fff Find the distance between the points (6, 0) and (7, tan 2θ) for all real values of θ. fff View Solution
fff 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. fff View Solution
fff If a is any real number, then what is the distance from (8, 0) to (0, a)? fff View Solution
fff 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? fff View Solution
fff a is any non-zero real number. If the distance between the points (a, - 1a) and (1a, a) is d, then which of the following is true?.
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fff What is the distance of the point (6, 7) from the x-axis? fff View Solution
fff What is the distance of the point (7, 9) from y-axis? fff View Solution
fff The three points A (2, - 2), B (3, 3), C (4, 6) fff View Solution
fff The three points A (2, 1), B (5, 1) and C (2, 5)
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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 View Solution
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 View Solution
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 View Solution
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?
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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 ab.   c View Solution
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 View Solution
c   If t ≠ 0, then find the distance between the points (at2, - 2at2), (at2, 2at).   c View Solution
c   A is a point on the curve y = x2 and B is a point on the curve y = x3. If the x co-ordinate of A is 2 and y co-ordinate of B is 8, then what is the distance between A and B?
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c   What is the distance between the points (5, 5) and (20, 25)?   c View Solution
c   In the triangle formed by the points A (4, 3), B (8, 7) and C (1, 6), the right angle is located at
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c   What is the distance of the point (12, 16) from the origin?
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c   What is the distance of the point (4y, y2 - 4) from the origin?
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