Class 9 One Mark Test

9th Standard

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Maths

Time : 00:20:00 Hrs
Total Marks : 20

    I. Choose the best answer

    20 x 1 = 20
  1. Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2 .

    (a)

    2

    (b)

    -2

    (c)

    10

    (d)

    0

  2. Which of the following is a solution of the equation 2x − y = 6

    (a)

    (2,4)

    (b)

    (4,2)

    (c)

    (3, −1)

    (d)

    (0,6)

  3. Which of the following is not a linear equation in two variable

    (a)

    ax + by + c = 0

    (b)

    0x + 0y + c = 0

    (c)

    0x + by + c = 0

    (d)

    ax + 0y + c = 0

  4. The value of k for which the pair of linear equations 4x + 6y −1 = 0 and 2x + ky − 7 = 0 represents parallel lines is

    (a)

    k = 3

    (b)

    k = 2

    (c)

    k = 4

    (d)

    k = -3

  5. If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } } \) where a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then the given pair of linear equation has __________ solution(s)

    (a)

    no solution

    (b)

    two solutions

    (c)

    infinite

    (d)

    unique

  6. The coordinates of the point C dividing the line segment joining the points P(2,4) and Q(5,7) internally in the ratio 2:1 is

    (a)

    \((\frac{7}{2},\frac{11}{2})\)

    (b)

    (3,5)

    (c)

    (4,4)

    (d)

    (4,6)

  7. In what ratio does the point Q(1,6) divide the line segment joining the points P(2,7) and R(−2,3)

    (a)

    1:2

    (b)

    2:1

    (c)

    1:3

    (d)

    3:1

  8. The ratio in which the x-axis divides the line segment joining the points (6,4) and (1, −7) is

    (a)

    2:3

    (b)

    3:4

    (c)

    4:7

    (d)

    4:3

  9. If (1,−2), (3,6), (x,10) and (3,2) are the vertices of the parallelogram taken in order, then the value of x is

    (a)

    6

    (b)

    5

    (c)

    4

    (d)

    3

  10. If tan\(\theta\) cot370 , then the value of \(\theta\) is

    (a)

    370

    (b)

    530

    (c)

    900

    (d)

    10

  11. The value of tan72°.tan18° is

    (a)

    0

    (b)

    1

    (c)

    180

    (d)

    720

  12. If 2sin 2\(\theta\) = \(\sqrt { 3 } \) , them the value of \(\theta\) is

    (a)

    900

    (b)

    300

    (c)

    450

    (d)

    600

  13. If cos A = \(\frac { 3 }{ 5 } \), them the value of tan A is

    (a)

    \(\frac { 4 }{ 5 } \)

    (b)

    \(\frac { 3 }{ 4 } \)

    (c)

    \(\frac { 5 }{ 3 } \)

    (d)

    \(\frac { 4 }{ 3 } \)

  14. The value of cosec(700 + \(\theta\)) - sec(200 - \(\theta\)) + tan(650 + \(\theta\)) - cot(250 - \(\theta\)) is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  15. Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is

    (a)

    00

    (b)

    900

    (c)

    300

    (d)

    600

  16. If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is

    (a)

    3 cm2

    (b)

    6 cm2

    (c)

    9 cm2

    (d)

    12 cm2

  17. If the lateral surface area of a cube is 600 cm2, then the total surface area is

    (a)

    150 cm2

    (b)

    400 cm2

    (c)

    900 cm2

    (d)

    1350 cm2

  18. The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is

    (a)

    75 litres

    (b)

    750 litres

    (c)

    7500 litres

    (d)

    75000 litres

  19. The probability based on the concept of relative frequency theory is called

    (a)

    Empirical probability

    (b)

    Classical probability

    (c)

    Both (1) and (2)

    (d)

    Neither (1) nor (2)

  20. Which of the following cannot be taken as probability of an event?

    (a)

    0

    (b)

    0.5

    (c)

    1

    (d)

    -1

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