Q14: For what values of m, the system of equations x+2y=5 and3x+my=-15 has no solution?
Q15: If a pair of linear equations is consistent, then write the nature of the lines. Q16: Check whether x-2x= (-2) (3-x) is quadratic equation?
Q17: Find the roots of the equation x-3x-10=0, by factorization.
Q18: Find the mean of first five composite numbers. Q19: Write the empirical relation between mean, mode and median.
Q20: Write the section formula.
SECTION B (Each question carries 3 marks)
Q21: Given that HCF (306,657) =9, find LCM (306,657) Q22: Find a quadratic polynomial, the sum and product of whose zeroes are -3 and
2, respectively.
Q23: On comparing the ratios ajaz, bı/bz, C1/C2, find out whether the following pairs of linear equation is consistent or inconsistent: 3x+2y=5; 2x-3y=7
Q24: Find two numbers whose sum is 27 and product is 182. Section- C [Each question carries 4 marks)
Q38: If A and B are (-2,-2) and (2,-4) respectively, find the coordinates of P such that
AP=AB and Plies on the line segment AB. Q39: The following table gives the literacy rate (in percentage) of 35 cities. Find the
mean literacy rate. 45-55
Literacy
rate (in %) Number of 3
cities
55-65
10
65-75
11
75-85
8
85-95
3
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