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The famous mathematician associated with finding the sum of first 100 natural numbers is Gauss Download more paper 10th maths paper Download
1. In the adjacent figure, AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD.
2. In the figure, a square is inscribed in a circle of diameter 14 cm and another square is circumscribing the circle. Find the ratio of the area of the outer square to the area of the inner square. 3. A number 'x' is chosen from the numbers - 3, - 2, -1, 0, 1, 2. Find the probability that x2 les than equal to 4. 4. If the point (x, y) is equidistant from the points (a - b, a +b) and (- a - b, a + b), prove that x- a = 0. 5. If the roots of the equation (a2 + b2 )x2 - 2(ac + bd)x + (c2 +d2 ) = 0 are equal, then prove that a/b = c/d |
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