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Choose the correct option for the following questions. The equation of the plane which is parallel…
Choose the correct option for the following questions.
(i)
The equation of the plane which is parallel to $2x - 3y + z = 0$ and which passes through $(1, -1, 2)$ is:
- (a)$2x - 3y + z - 7 = 0$
- (b)$2x - 3y + z + 7 = 0$
- (c)$2x - 3y + z - 8 = 0$
- (d)$2x - 3y + z + 6 = 0$
(ii)
The intercepts made on the coordinate axes by the plane $2x + y - 2z = 3$ are:
- (a)$-\frac{3}{2}, -3, -\frac{3}{2}$
- (b)$\frac{3}{2}, 3, -\frac{3}{2}$
- (c)$\frac{3}{2}, -3, -\frac{3}{2}$
- (d)$\frac{3}{2}, 3, \frac{3}{2}$
Answer
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From ISC 2022 Specimen Mathematics Paper 1, question 9.