EXERCISE 13.2 Q NO. 6 AND 7

For solving each pair of equations, in this exercise, use the method of elimination by equating coefficients : 13 + 2y = 9x 3y = 7x

Divide 13.2 in the ratio 4:7.

Which of the following is an orthogonal matrix ? ( ⎡ ⎢ ⎣ 6 / 7 2 / 7 − 3 / 7 2 / 7 3 / 7 6 / 7 3 / 7 − 6 / 7 2 / 7 ⎤ ⎥ ⎦ (b) ⎡ ⎢ ⎣ 6 / 7 2 / 7 3 / 7 2 / 7 − 3 / 7 6 / 7 3 / 7 6 / 7 − 2 / 7 ⎤ ⎥ ⎦ (c) ⎡ ⎢ ⎣ − 6 / 7 − 2 / 7 − 3 / 7 2 / 7 3 / 7 6 / 7 − 3 / 7 6 / 7 2 / 7 ⎤ ⎥ ⎦ (d) ⎡ ⎢ ⎣ 6 / 7 − 2 / 7 3 / 7 2 / 7 2 / 7 − 3 / 7 − 6 / 7 2 / 7 3 / 7 ⎤ ⎥ ⎦

4.4 gms of a hydrocarbon on complete combustion produced 13.2 gms of CO_(2) and 7.2 gms of H_(2)O . What is the hydrocarbon?

Find the mode of (i) 7, 7, 8, 10, 10, 11,13, 14 (ii) 4, 5, 6, 7, 8, 7, 6, 5, 3, 4, 6, 7, 6

Divide : 6x^(3) - 13x^(2) - 13x + 30 by 2x^(2) - x - 6

Evaluate: -3/8 + 5/8 + 7/8 , (ii) 11/3 + -5/3 + -2/3 , (iii) -1+ 2/(-3) + 5/6 , (iv) 7/26 + (-11)/13 + 2 , (v) 3+(-7/8) + -3/4 , (vi) -13/8 + 7/16 + (-3)/4

How many terms are there in the A.P? 7,\ 10 ,\ 13 ,\ 43. (ii) -1,\ -5/6,\ -2/3,\ -1/2,\ ddot,(10)/3dot (iii) 7,\ 13 ,\ 19 ,\ ddot,\ 205 . (iv) 18 ,\ 15 1/2,\ 13 ,\ ddot,\ -47 .

Find the mode of the each of the following data collection. 5, 2, 7, 3, 5, 2, 9, 12, 13, 15, 2, 7, 3,5,7,6

If |x+3|geq10 , then x in (-13 ,\ 7] b. x in (-oo,-13)uu(7,oo) c. x in (-13 ,7) d. x in (-oo,\ -13]uu[7,oo)