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Standard XII

Mathematics

One - One function

lf the equati...

Question

lf the equation of the plane perpendicular to the $z$ -axis and passing through the point $(2, - 3, 4)$ is $a x + b y + c z = d$ then $\frac{a + b + c}{d} =$

4

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\frac{3}{4}

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3

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\frac{1}{4}

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Solution

The correct option is D $\frac{1}{4}$

Since, the plane is perpendicular to the z axis, $a = b = 0$

The plane passes through (2,-3,4).

So $d = 4 c$

$\frac{a + b + c}{d} = \frac{c}{4 c} = \frac{1}{4}$

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lf the equation of the plane perpendicular to the z -axis and passing through the point (2,−3,4) is ax+by+cz=d then a+b+cd=

The correct option is D 14 Since, the plane is perpendicular to the z axis, a=b=0 The plane passes through (2,-3,4). So d=4c a+b+cd=c4c=14

lf the equation of the plane perpendicular to the $z$ -axis and passing through the point $(2, - 3, 4)$ is $a x + b y + c z = d$ then $\frac{a + b + c}{d} =$

The correct option is D $\frac{1}{4}$

Since, the plane is perpendicular to the z axis, $a = b = 0$

The plane passes through (2,-3,4).

So $d = 4 c$

$\frac{a + b + c}{d} = \frac{c}{4 c} = \frac{1}{4}$