St. Britto Hr. Sec. School - Madurai
10th Maths Revision Test-2-Aug 2020
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prove that (cosec\(\theta \)-sin\(\theta \)) (sec\(\theta \)-cos\(\theta \)) (tan\(\theta \) +cot\(\theta \))=1
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Let A = {x \(\in \) N| 1 < x < 4}, B={x \(\in \) W| 0 ≤ x < 2) and C={x \(\in \) N| x < 3} Then verify that
(i) A x (B U C) = (A x B) U (A x C)
(ii) A x (B ∩ C) = (A x B) ∩ (A x C) -
Find the square root of the expression \(\frac { 4{ x }^{ 2 } }{ { y }^{ 2 } } +\frac { 20x }{ y } +13-\frac { 30y }{ x } +\frac { 9{ y }^{ 2 } }{ { x }^{ 2 } } \)
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Find the equation of a line passing through the point (3, - 4) and having slope \(\frac { -5 }{ 7 } \)
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Find x if gff(x) = fgg(x), given f(x) = 3x+1 and g(x)=x+.
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Find the least positive integer n such that 1 + 6 +62 + ... + 6n > 5000
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D and E are respectively the points on the sides AB and AC of a DABC such that AB=5.6 cm, AD=1.4 cm, AC=7.2 cm and AE = 1.8 cm, show that DE||BC
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Find the GCD of the polynomials x3 + x2 - x + 2 and 2x3 - 5x2 + 5x - 3.
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For the cylinders A and B (Fig. 7.27), (i) find out the cylinder whose volume is greater.
(ii) verify whether the cylinder with greater volume has greater total surface area.
(iii) find the ratios of the volumes of the cylinders A and B. -
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Two dice are rolled together. Find the probability of getting a doublet or sum of faces as 4.
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In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 is the third, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?
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