10th Maths Unit 3 Algebra Free Online Test

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1. If A is a 2 x 3 matrix and B is a 3 x 4 matrix, how many columns does AB have .............

1 point

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2. Which of the following should be added to make (x^4) + 64 a perfect square............

1 point

4x²

16x²

8x²

-8x²

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3. x / x² -25 - 8 / x²+6x+5 gives...................

1 point

x²-7x+40 / (x+5) (x-5)

x²+7x+40 / (x+5)(x-5)(x+1)

x²-7x+40 / (x²-25) (x+1)

x²+10 / (x²-25) (x+1)

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4. A system of three linear equations in three variables is inconsistent if their planes...............

1 point

intersect only at a point

intersect in a line

coincides with each other

do not intersect

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5. The solution of the system x + y - 3z = -6, -7y + 7z = 7, 3z = 9 is...................

1 point

x= 1, y = 2, z = 3

x = -1, y = 2, z = 3

x = -1, y = -2, z = 3

x =1, y = 2, z = -3

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6. If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is

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7. Graph of a linear polynomial is a..................

1 point

straight line

circle

parabola

hyberbola

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8. The number of points of intersection of the quadratic polynomial x² + 4x + 4 with the X axis...............

1 point

0 or 1

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9. y² + 1 / y² is not equal to...............

1 point

y^4) +1 / y²

[y + 1/y]²

[y -1/y]² +2

[y + 1 /y]² -2

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10. The values of a and b if (4x^4) - (24x^3) + 76x² + ax + b is a perfect square are.............

1 point

00, 120

10, 12

-120, 100

12, 10

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11. Transpose of a column matrix is...................

1 point

unit matrix

diagonal matrix

column matrix

row matrix

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12. 3y-3 / y ÷ 7y -7 / 3y² is................

1 point

9y / 7

(9y^3) / (21y - 21)

21y²-42y+21 / (3y^3)

7(y²-2Y+1) / y²

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13. The solution of (2x-1)² = 9 is equal to............

1 point

-1

-1, 2

None of these

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14. If number of columns and rows are not equal in a matrix then it is said to be a..........

1 point

diagonal matrix

rectangular matrix

square matrix

identity matrix

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15. If the roots of the equation q²x² + p²x + r² = 0 are the squares of the roots of the equation qx² + px + r = 0, then q, p, r are in...............

1 point

A.P

G.P

Both A.P and G.P

None of these

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