Distance of a Point from Coordinate Axes

Q.

The perpendicular distance from (1, 2) to the straight line 12x+5y=7 is

1. 15/13

2. 12/13

3. 5/13

4. 7/13

Q.

The shortest distance of the point (a, b, c) from the x-axis is
[MP PET 1999; DCE 1999]

1. $\sqrt{(a^2+b^2)}$

2. $\sqrt{(b^2+c^2)}$

3. $\sqrt{(c^2+a^2)}$

4. $\sqrt{(a^2+b^2+c^2)}$

Q. Find the coordinates of a point on y -axis which are at a distance of from the point P (3, –2, 5).

Q. If a point is in the $XZ$-plane. What can you say about its $y$-coordinate?

Q.

The distance of the point (4, 3, 5) from the y-axis is
[MP PET 2003]

1. $\sqrt{34}$

2. $\sqrt{5}$

3. $\sqrt{41}$

4. $\sqrt{15}$

Q.

Perpendicular distance of the point (3, 4, 5) from the y-axis, is [MP PET 1994, Pb. CET 2002]

1. $\sqrt{34}$

2. $\sqrt{41}$

3. 4

4. 5

Q. 29. distance of point A(-2, 3, 1) from line PQ through P(-3, 5, 2) which make equal angles with axes is ??

Q.

Distance of the point (1, 2, 3) from the co-ordinate axes are

1. $\sqrt{5},\sqrt{13},\sqrt{10}$

2. $\sqrt{13},\sqrt{10},\sqrt{5}$

3. $\frac{1}{\sqrt{13}},\frac{1}{\sqrt{10}},\frac{1}{\sqrt{5}}$

4. 13, 10, 5

Q. If $e=\frac{\sqrt{3}}{2}$, its length of latusrectum is

1. (length of major axis)
2. (length of major axis)
3. (length of major axis)
4. Length of major axis

Q.

If the sum of the squares of the distance of a point from the three co-ordinate axes be 36, then its distance from origin

1. 6

2. $3\sqrt{2}$

3. $2\sqrt{3}$

4. None of these

Q.

If the sum of the squares of the distance of a point from the three co-ordinate axes be 36, then its distance from origin

1. 6

2. $3\sqrt{2}$

3. $2\sqrt{3}$

4. None of these

Q.

If the graph of $y=3x^2+2\sqrt{b}x+5$ does not touch x-axis , which of the following is true?

1. b > 15

2. b > 50

3. b < 15

4. b < 50

Q. How many points are there on the x-axis whose distance from the point(2, 3)is less than 3 units

Q.

Perpendicular distance of the point (3, 4, 5) from the y-axis, is [MP PET 1994, Pb. CET 2002]

1. $\sqrt{34}$

2. $\sqrt{41}$

3. 4

4. 5

Q.

Find the distance from $\left(4,-2,6\right)$ to each of the following:

The $x-$axis

Q.

The distance of the point (4, 3, 5) from the y-axis is
[MP PET 2003]

1. $\sqrt{34}$

2. $\sqrt{5}$

3. $\sqrt{41}$

4. $\sqrt{15}$