I. Four alternatives are given for each of the following questions/incomplete statement. Choose the correct alternative and write the complete answer along with its letter of alphabet
1. The common difference of the Arithmetic progression 100, 93, 86, ……… is A) 4 B) 8 C) 7 D) –7
2. If the value of the discriminant of a quadratic equation is zero then the nature of the roots are A) Real distinct and irrational B) Real and equal C) Real distinct and rational D) Not real
3. The empirical relationship between mean, median and mode is A) 3 Median = Mode + Mean B) 3 Median = 2 Mode + Mean C) 3 Median = 2 Mode + 2 Mean D) 3 Median = Mode + 2 Mean
4. Which of the following pair of triangles are always similar A) Two isosceles triangles B) Two scalene triangles C) Two equilateral triangles D) Two right angle triangles
5. A cone is cut by a plane parallel to its base and the small cone that obtained is removed then the remaining part of the cone is A) a frustum of cone B) a frustum of cylinder C) a Sphere D) a right circular cone
II. Answer the following questions. 8×1=8 1. In an Arithmetic progression the sum of first four terms is 20 and the sum of first three terms is 12 then find the fourth term of the arithmetic progression. 2. If a pair of linear equations in two variables are inconsistent then write how many solutions do they have. 3. State “Pythagoras’s” theorem 4. Write the formula to find the volume of a cone 5. Find the surface area of a sphere of radius 7cm
III. Answer the following questions. 8×2=16 1. Solve the pair of linear equations by elimination method. 2x + y = 3 4x – y = 9
OR Show that the lines represented by linear pair of equations 2x + 3y = 1 and 5x + 6y = 2 are intersecting lines by comparing their co-efficients.
2. Find the 15th term of the arithmetic progression 6, 10, 14 ……………… using the formula. 3. Find the sum of first 15 terms of 3 + 6 + 9 ……………… using the formula OR Verify whether 130 is a term of the arithmetic progression 3, 7, 11 ……… 4. Find the distance between the points (3, 1) and (6, 2) using distance formula.
