i. The straight lines kx + 2y = 1 and 4x - y = 3 are perpendicular then k = $\frac{1}{2}$. ii. Two points form a line are y − y1 = m(x − x1).

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Only (i) Explanation: $\Rightarrow$ Going through (i) statement, For two lines to be perpendicular, the product of their slopes must be −1, Slope of first line (m1): -k/2 Slope of second line (m2): -4/(-1) = 4 Let’s calculate: (- k/2) xx 4 = -1 −2k = −1 $\therefore$ k = $\frac{1}{2}$ This matches the statement, so the statement is valid. $\Rightarrow$ Going through (ii) statement, The formula y − y1 = m(x − x1) is specifically called the Point-Slope Form. The Two-Point Form of a line is written by replacing m with the slope formula: `y - y_1 = (y_2 - y_1)/(x_2 - x_1) (x - x_1)` So, this statement is invalid.

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