St. Britto Hr. Sec. School - Madurai
10th Maths Revision Test-1-Aug 2020
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The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost Rs. 1300 per square feet. What will be the total cost for making the parking lot?
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A circular garden is bounded by East Avenue and Cross Road. Cross Road intersects North Street at D and East Avenue at E. AD is tangential to the circular garden at A(3, 10). Using the figure.
Where does the Cross Road intersect the
(i) East Avenue ?
(ii) North Street ? -
Find the area of the triangle whose vertices are (-3,5) , (5,6) and (5,-2)
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Reduce the rational expressions to its lowest form
\(\frac { { x }^{ 2 }-16 }{ { x }^{ 2 }+8x+16 } \) -
Consider the following information regarding the number of men and women workers in three factories I, II and III.
Factory Men Women I 23 18 II 47 36 III 15 16 Represent the above information in the form of a matrix. What does the entry in the second row and first column represent?
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Which of the following sequences form a Geometric Progression?
7,14,21,28,.... , -
Construct a triangle similar to a given triangle PQR with its sides equal to 35 of the corresponding sides of the triangle PQR (scale factor \(\cfrac { 3 }{ 5 } <1\)) Solution Given a triangle PQR we are required to construct another triangle whose sides are \(\cfrac { 3 }{ 5 } \) of the corresponding sides of the triangle PQR.
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If the base area of a hemispherical solid is 1386 sq. metres, then find its total surface area?
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Solve \(2{ x }^{ 2 }-2\sqrt { 6 } x+3\) = 0
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If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?
(i) R1= {(–5,a), (1,a), (3,b)}
(ii) R2= {(–5,b), (1,b), (3,a),(4,c)}
(iii) R3 = {(–5,a), (1,a), (3,b),(4,c),(1,b)} -
Show that \(\triangle\)PST~\(\triangle\)PQR
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Without using Pythagoras theorem, show that the vertices (1, - 4) , (2, - 3) and (4, - 7) form a right angled triangle.
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Find the square root of the following expressions
16x2 + 9y2 - 24xy + 24x - 18y + 9 -
Find the equation of a straight line perpendicular to the line \(y=\frac { 4 }{ 3 } x-7\) and passing through the point (7, –1).
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Determine the nature of roots for the following quadratic equations
x2 - x - 20 = 0 -
Write down the quadratic equation in general form for which sum and product of the roots are given below.
\(-\frac { 3 }{ 5 } ,-\frac { 1 }{ 2 } \) -
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If A = \(\left[ \begin{matrix} 7 & 8 & 6 \\ 1 & 3 & 9 \\ -4 & 3 & -1 \end{matrix} \right] \), B = \(\left[ \begin{matrix} 4 & 11 & -3 \\ -1 & 2 & 4 \\ 7 & 5 & 0 \end{matrix} \right] \) then Find 2A + B.
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Solve x2 + 2x - 2 by formula method
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From the top of a 12 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 30°. Determine the height of the tower.
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Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
(i) R1={(3,7), (4,7), (7,10), (8,1)}
(ii) R2= {(3,1), (4,12)}
(iii) R3= {(3,7), (4,10), (7,7), (7,8), (8,11), (8,7), (8,10)} -
If sin (A - B) = \(\frac12\), cos (A + B) = \(\frac12\), 0o < A + ≤ 90°, A > B, find A and B.
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Find
\(\frac { { x }^{ 2 }-16 }{ x+1 } \div \frac { x-4 }{ x+4 } \)