Quarterly Exam Model Two Marks Questions

10th Standard EM

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    15 x 2 = 30
  1. If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?
    (i) R1= {(–5,a), (1,a), (3,b)}
    (ii) R2= {(–5,b), (1,b), (3,a),(4,c)}
    (iii) R3 = {(–5,a), (1,a), (3,b),(4,c),(1,b)}

  2. If f(x)=2x+3, g(x)=1-2x and h(x)=3x. Prove that f 0 (f o g) o h.

  3. Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as  a set of ordered pairs.

  4. Find the HCF of 396, 504, 636.

  5. Determine the general term of an A.P. whose 7th term is -1 and 16th term is 17.

  6. Find the sum of
    1+3+5+..+55 

  7. Solve \(\frac { x }{ x-1 } +\frac { x-1 }{ x } =2\frac { 1 }{ 2 } \)

  8. QAand PB are perpendiculars to AB. If AO = 10 cm, BO=6 cm and PB=9 cm. Find AQ.

  9. Show that  \(\triangle\)PST~\(\triangle\)PQR 

  10. In figure if PQ || RS Prove that \(\Delta POQ\sim \Delta SOQ\)

  11. Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

  12. Find the equation of a line which passes through (5, 7) and makes intercepts on the axes equal in magnitude but opposite in sign.

  13. Find the equation of the straight line passing through (5, 7) and is
    Parallel to Y axis.

  14. Show that the points (1, 7), (4, 2), (-1,-1) and (-4,4) are the vertices of a square.

  15. If A (-5, 7), B (-4, -5), C (-1, -6) and D (4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

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