Q6 Write the expanded form of (3x + 2y z) 2 . – Q7 Factorize : (a) x2 + x + 6 (b) 27a3 + 125b3 (c) 8x3 + 27y3 + z3 18xyz – Q8 Find the remainder when f(x) = x3- 6x2 + 2x 4is divided by g(x) = 3x 1 – – Q9 If the polynomial 2x3 + a x2 + 3x 5 and x3 + x2 4x + 9 leave the same remainder when – – divided by x 2 , find the value of a. – Q10 Using factor theorem, factorize the polynomial X3 6x2 + 11x 6 b) 2x3 3x2 -17x + 30 – – – Q11 Find the value of a such that (x-4) is a factor of 5x3 7x2 ax 28. – – – Q12 If both x + 1 and x 1 are factor of ax3 + x2 2x + b, find the values of a and b . – – Q13 Evaluate:- (x 2y)3 + (2y 3z)3 + (3z x)3 – – – Q14 Evaluate 303 + 203 503 b) (-12)3 + 73 + 53 – Q15 Simplify (a2 + (b2 c2)3 + (c2 a2 )3 / (a - b)3 + (b c )3 + (c a)3 –b2)3 – – – – TOPIC:- COORDINATE GEOMETRY Q1. The point of interest of the coordinate axes is Ordinate (b) Abscissa (c) Quadrant (d) Origin Q2. The measure of the angle between the coordinate axes is 0 (b) 90 (c) 180 (d) 360 Q3. The ordinate of any on x-axis is 0 (b) 1 (c) -1 (d) Any number Q4. The abscissa of any point on y-axis is 0 (b) 1 (c) -1 (d) Any number Q5. Points (-4, 0) and (7, 0) lie
Q6 Write the expanded form of (3x + 2y – z) 2 . Q7 Factorize : (a) x2 + x + 6 (b) 27a3 + 125b3 (c) 8x3 + 27y3 + z3 – 18xyz Q8 Find the remainder when f(x) = x3- 6x2 + 2x – 4is divided by g(x) = 3x – 1 Q9 If the polynomial 2x3 + a x2 + 3x – 5 and x3 + x2 – 4x + 9 leave the same remainder when divided by x – 2 , find the value of a. Q10 Using factor theorem, factorize the polynomial X3 – 6x2 + 11x – 6 b) 2x3 – 3x2 -17x + 30 Q11 Find the value of a such that (x-4) is a factor of 5x3 – 7x2 – ax – 28. Q12 If both x + 1 and x – 1 are factor of ax3 + x2 – 2x + b, find the values of a and b . Q13 Evaluate:- (x – 2y)3 + (2y – 3z)3 + (3z – x)3 Q14 Evaluate 303 + 203 – 503 b) (-12)3 + 73 + 53 Q15 Simplify (a2 –b2)3 + (b2 – c2)3 + (c2 – a2 )3 / (a - b)3 + (b – c )3 + (c – a)3 TOPIC:- COORDINATE GEOMETRY Q1. The point of interest of the coordinate axes is Ordinate (b) Abscissa (c) Quadrant (d) Origin Q2. The measure of the angle between the coordinate axes is 0 (b) 90 (c) 180 (d) 360 Q3. The ordinate of any on x-axis is 0 (b) 1 (c) -1 (d) Any number Q4. The abscissa of any point on y-axis is 0 (b) 1 (c) -1 (d) Any number Q5. Points (-4, 0) and (7, 0) lie
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