(i) Rohan bought the following eatables for his friends :

Calculate :
(a) Total GST paid.
(b) Total bill amount including GST.


(ii) (a) If the lines kx - p + 4 = 0 and 2y = 6x + 7 are perpendicular to each other, find the value of k.
(b) Find the equation of a line parallel to 2y = 6x + 7 and passing through (-1, 1)

(iii) Use ruler and compass to answer this question. Construct ∠ABC = 90°, where AB =6cm, BC =8 cm.
(a) Construct the locus of points equidistant from B and C.
(b) Construct the locus of points equidistant from A and B.
(c) Mark the point which satisfies both the conditions (a) and (b) as O. Construct the locus of points keeping a fixed distance OA from the fixed point O.
(d) Construct the locus of points which are equidistant from BA and BC.

Solution

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