SSLC Maths English Medium - Algebra One Mark Questions Online Test

Maths - Algebra

Maths - Algebra

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1. If the system 6x – 2y = 3, kx – y = 2 has a unique solution, then
   1.   k=3
   2.   k ≠ 3
   3.   k = 4
   4.   k ≠ 4
2. A system of two linear equations in two variables is inconsistent, if their graphs
   1. coincide
   2. intersect only at a point
   3. do not intersect at any point
   4. cut the x-axis
3. The system of equations x - 4y = 8 ,3x -12y =24
   1. has infinitely many solutions
   2. has no solution
   3. has a unique solution
   4. may or may not have a solution
4. If one zero of the polynomial p(x) = (k + 4)x² + 13x + 3k is reciprocal of the other, then k is equal to
   1.   2
   2.   3
   3.   4
   4.   5
5. The sum of two zeros of the polynomial f(x) = 2x² + (p + 3)x + 5 is zero, then the value of p is
   1.   3
   2.   4
   3.   -3
   4.   -4
6. The remainder when x² - 2x + 7 is divided by x+4 is
   1.   28
   2.   29
   3.   30
   4.   31
7. The quotient when x³ - 5x²+ 7x - 4 is divided by x–1 is
   1.   x² + 4x + 3
   2.   x² - 4x + 3
   3.   x² - 4x -3
   4.   x² + 4x - 3
8. The GCD of (x³ + 1) and x⁴ - 1 is
   1.   x³ - 1
   2.   x³ + 1
   3.   x + 1
   4.   x - 1
9. The GCD of x² - 2xy + y² and x⁴ - y⁴ is
   1.   1
   2.   x + y
   3.   x - y
   4.   x² - y²
10. The LCM of x³ - a³ and (x - a)² is
    1.   (x³ - a³) (x+a)
    2.   (x³ - a³)(x - a)²
    3.   (x - a)² (x²+ ax + a²)
    4.   (x + a)² (x² + ax + a²)
11. The LCM of எனும்போது a^k , a^k+3 , a^k+5 where k ∈ ℕ is
    1.   a^k+9
    2.   a^k
    3.   a^k+6
    4.   a^k+5
12. The lowest form of the rational expression x² + 5x + 6 / x² - x - 6 is
    1.   x - 3 / x + 3
    2.   x + 3 / x - 3
    3.   x + 2 / x - 3
    4.   x - 3 / x + 2
13. If a + b / a - b and a³ - b³ / a³ + b³ are the two rational expressions, then their product is
    1.   a² + ab + b² / a² - ab + b²
    2.   a² - ab + b² / a² + ab + b²
    3.   a² - ab - b² / a² + ab + b²
    4.   a² + ab + b² / a² - ab - b²
14. On dividing x² - 25 / x + 3 by x + 5 / x² - 9 is equal to
    1.   (x - 5) (x - 3)
    2.   (x - 5) (x + 3)
    3.   (x + 5) (x - 3)
    4.   (x + 5) (x + 3)
15. If a³ / a - b is added with b³ / b - a then the new expression is
    1.   a² + ab + b²
    2.   a² - ab + b²
    3.   a³ + b³
    4.   a³ - b³
16. The square root of 49 (x² - 2xy + y²)² is
    1.   7 lx - yl
    2.   7(x + y)(x - y)
    3.   7(x + y)²
    4.   7(x - y)²
17. The square root of x² + y² + z² - 2xy - 2yz - 2zx
    1.   lx + y - zl
    2.   lx - y + zl
    3.   lx + y + zl
    4.   lx - y - zl
18. The square root of 121x⁴y⁸z⁶ (l - m)² is
    1.   11x² y⁴ z⁴lL-Ml
    2.   11x⁴ y⁴l z³(L-M)l
    3.   11² y⁴ z⁶lL-Ml
    4.   11² y⁴l z³(L-M)l
19. If ax² + bx + c = 0 has equal roots, then c is equal
    1.   b² / 2a
    2.   b² / 4a
    3.   - b² / 2a
    4.   - b² / 4a
20. If x² + 5kx + 16 = 0 has no real roots, then
    1.   k > 8/5
    2.   k > -8/5
    3.   -8/5 < k < 8/5
    4.   0 < k < 8/5
21. A quadratic equation whose one root is 3 is
    1.   x² - 6x - 5 = 0
    2.   x² + 6x - 5 = 0
    3.   x² - 5x - 6 = 0
    4.   x² - 5x + 6 = 0
22. The common root of the equations x² - bx + c = 0 and x² + bx - a = 0 is
    1.   c+a / 2b
    2.   c-a / 2b
    3.   c+b / 2a
    4.   a+b / 2c
23. If a,b are the roots of a² + bx+ c = 0 a ≠ 0,then the wrong statement is
    1.   ∝² + ᵦ² = b² - 2ac /a²
    2.   ∝ᵦ = c / a
    3.   ∝+ ᵦ= b / a
    4.   1 / ∝ + 1 / ᵦ = -b / c
24. If ∝ , ᵦ are the roots of ax² + bx+ c = 0 then one of the quadratic equations whose roots are 1/ ∝ and 1 / ᵦ is
    1.   ax² + bx + c = 0
    2.   bx² + ax + c = 0
    3.   cx² + bx + a = 0
    4.   cx² + ax + b = 0
25. Let b = a + c Then the equation ax² + bx + c = 0 has equl roots, if
    1.   a =c
    2.   a = - c
    3.   a = 2c
    4.   a = -2c