Section-1
1) Find the distance between the points (1,5) and (5,8)
2) Expand Log10 385
3) Give one example each for a finite set and infinite set.
4) Find sum and product of roots of the quadratic equation
x^2 - 4√3 x + 9 = 0
5) Is the sequence √3,√6,√9,√12.....form an Arithmetic Progression? Give reason.
6) If x = a and y = b is solution for the pair of equation x - y = 2 and x + y = 4, then find the values of a and b
7) Find the relation between zeroes and coefficients of the Quadratic polynomial x^2 - 4
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Section-2
8) Complete the following table for the following
y = p(x) = x^3 - 2x + 3
9) Show that Log 162 + 2 log 7 - log 1 = log 2
343 9 7
10) if the equation kx^2 - 2kx + 6 = 0 has equal roots, then find the value of k.
11) Find the 7th term from the end of the Arithmetic Progression 7,10,13.....184.
12).In the diagram on a Lunar eclipse. If the position of The sun, Earth and moon are shown by (-4,6), (k,-2) and (5,-6) respectively, then find the value of k.
13) Given the linear equation 3x + 4y = 11, write linear equation in two variables such that their geometrical representations form parallel lines and intersecting lines.
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Section-3
14) Find the points of trisection of the line segment joining the points (-2,1) and (7,4)
OR
Sum of squares of two consecutive even numbers is 580.Find the numbers by writing a suitable quadratic equation.
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15). Prove that √3 + √5 is an irrational number
OR
Show that cube of any positive integer will be in the form of 8m , or 8m+1 or 8m+3 or 8m + 5 or 8m+7, where 'm' is a whole number
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16). Find the solution of x + 2y = 10 and 2x + 4y = 8 graphically.
OR
A = { x:x is a perfect square, x < 50 , x ≡ N}
B = { x:x= 8m + 1, where m ≡W, x<50, x≡ N }
Find A∩B and display it with Venn diagram.
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17). Find the sum of all two digit positive integers which are divisible by 8 but not by 2.
OR
Total Number of pencils required are given by 4x^4 + 2x^3 - 2x^2 + 62x - 66. If each box contains x^2 + 2x - 3 pencils, then find the number of boxes to be purchased.
1) Find the distance between the points (1,5) and (5,8)
2) Expand Log10 385
3) Give one example each for a finite set and infinite set.
4) Find sum and product of roots of the quadratic equation
x^2 - 4√3 x + 9 = 0
5) Is the sequence √3,√6,√9,√12.....form an Arithmetic Progression? Give reason.
6) If x = a and y = b is solution for the pair of equation x - y = 2 and x + y = 4, then find the values of a and b
7) Find the relation between zeroes and coefficients of the Quadratic polynomial x^2 - 4
******************************************************
Section-2
8) Complete the following table for the following
y = p(x) = x^3 - 2x + 3
9) Show that Log 162 + 2 log 7 - log 1 = log 2
343 9 7
10) if the equation kx^2 - 2kx + 6 = 0 has equal roots, then find the value of k.
11) Find the 7th term from the end of the Arithmetic Progression 7,10,13.....184.
12).In the diagram on a Lunar eclipse. If the position of The sun, Earth and moon are shown by (-4,6), (k,-2) and (5,-6) respectively, then find the value of k.
13) Given the linear equation 3x + 4y = 11, write linear equation in two variables such that their geometrical representations form parallel lines and intersecting lines.
******************************************************
Section-3
14) Find the points of trisection of the line segment joining the points (-2,1) and (7,4)
OR
Sum of squares of two consecutive even numbers is 580.Find the numbers by writing a suitable quadratic equation.
******************************************************
15). Prove that √3 + √5 is an irrational number
OR
Show that cube of any positive integer will be in the form of 8m , or 8m+1 or 8m+3 or 8m + 5 or 8m+7, where 'm' is a whole number
*****************************************
16). Find the solution of x + 2y = 10 and 2x + 4y = 8 graphically.
OR
A = { x:x is a perfect square, x < 50 , x ≡ N}
B = { x:x= 8m + 1, where m ≡W, x<50, x≡ N }
Find A∩B and display it with Venn diagram.
*******************************************************
17). Find the sum of all two digit positive integers which are divisible by 8 but not by 2.
OR
Total Number of pencils required are given by 4x^4 + 2x^3 - 2x^2 + 62x - 66. If each box contains x^2 + 2x - 3 pencils, then find the number of boxes to be purchased.
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