The table given below shows the frequency distribution of the scores obtained by 200 candidates in a BCA entrance examination:

Draw cumulative frequency curve using 'less than series'.

If sec θ + tan θ = m, prove that

Draw the graph of the following equations: 3x + y- 11 = 0 and x-y- 1 = 0.

Shade the region bounded by these lines and the y-axis.

For what value of k will the following pair of linear equations have infinitely many solutions?

2x - 3y = 7

(k + 1)x + (1 - 2k)y = (5k - 4)

Prove that: (sin θ – cosec θ)(cos θ – sec θ) =