Four alternatives are given for each of the following questions/ incomplete statements. Choose the correct alternative and write the complete answer along with its letter of alphabet.
1. In a class, ”the number of boys (x) is 5 more than the number of girls (y).” The linear equation form of this statement is (A) x – y = 5 (B) x = 5y (C) y – x = 5 (D) x + y = 5
2. 5. The coordinates of the midpoint of the line segment joining the points (4, 3) and (2, 1) is (A) (2, 3) (B) (2, 2) (C) (3, 2) (D) (1, 1)
Answer the following questions : 1. Find the HCF of 7 and 11. 2. How many solutions do the pair of linear equations has, if the lines represented by them are coincident? 3. Write the degree of the polynomial p(x) = x²+2×3-5×4+6 ? 4. Find the discriminant of the quadratic equation x²-2x-3=0. 5. Write the formula to find the volume of the frustum of a cone, if theradii of its circular bases are ‘r1’ and ‘r2’ and its height is ‘h’. 6. If the probability of raining on a particular day is 0.75, then find theprobability of not raining on the same day. 7. If the ratio of the areas of two similar triangles is 64 : 121, then find the ratio of their corresponding sides. 8. Find the distance between the origin and the point (3, 4).
General Instructions to the Candidate : 1. This question paper consists of objective and subjective types of 38 questions. 2. This question paper has been sealed by reverse jacket. You have to cut on the right side to open the paper at the time of commencement of the examination. Check whether all the pages of the question paper are intact. 3. Follow the instructions given against both the objective and subjective types of questions. 4. Figures in the right hand margin indicate maximum marks for the questions. 5. The maximum time to answer the paper is given at the top of the question paper. It includes 15 minutes for reading the question paper
