Distance of a Point from Coordinate Axes

Q. Perpendicular distance of the point (3, 4, 5) from the y-axis, is

1. $\sqrt{34}$
2. $\sqrt{41}$
3. 4
4. 5

Q.

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

1. $\sqrt{5}$

2. $\sqrt{41}$

3. $\sqrt{34}$

4. $\sqrt{15}$

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. None of these

2. $3\sqrt{2}$

3. 6

4. $2\sqrt{3}$

Q. Write the distance of the point P(3, 4, 5) from z-axis.

Q.

Find the distance of the point P (-4, 3, 5) from the coordinate axes.

Q. From which of the following the distance of the point (1, 2, 3) is $\sqrt{10}$

1. Origin
2. z - axis
3. x - axis
4. y - axis

Q.

Find the distance between and when: (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.

Q.

Write the length of the perpendicular drawn from the point P(3, 5, 12) on x-axis.

Q. The distance of the point (-2, 5, 4) from the Z-axis is units.

1. $2\sqrt{5}$
2. $\sqrt{41}$
3. 5
4. $\sqrt{29}$

Q.

The length of the perpendicular drawn from the point P(a, b, c) from z-axis is

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

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

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

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

Q.

The length of the perpendicular drawn from the point P(3, 3, 4) from the

y-axis is

1. $5\sqrt{2}$

2. $\sqrt{34}$

3. $\sqrt{113}$

4. 10

Q. The points $(-2,3,5),(1,2,3)$ and $(7,0,-1)$ form

1. an isosceles triangle
2. a straight line.
3. an equilateral triangle
4. a right angled triangle

Q.

Find the area of the region enclosed by the parabola x² = y, the line y = x + 2 and x-axis

Q.

The perpendicular of the point P(3, 3, 4) from the x-axis is

1. $3\sqrt{2}$

2. 5

3. 5

4. 4

Q.

In the ellipse whose centre is (0, 1), an end of the major axis is (3, 1) and the nearer focus is (1, 1). The minor axis has the length-

Q.

From which of the following the distance of the point (1, 2, 3) is $\sqrt{10}$

1. z-axis

2. Origin

3. x-axis

4. y-axis

Q. If the sum of the distances of a moving point from two perpendicular lines in a plane is always $1,$ then, its locus is

1. Parabola
2. Hyperbola
3. None of these
4. Ellipse

Q. Perpendicular distance of the point (3, 4, 5) from the y-axis, is

1. 4
2. 5
3. $\sqrt{34}$
4. $\sqrt{41}$

Q. The point on y-axis which is at a distance of $\sqrt{10}$ units from the point $(1,2,3)$ is

$\left(a\right)(0,1,0)\left(b\right)(0,2,0)$
$\left(c\right)(0,\sqrt{2},0)\left(d\right)(0,3,0)$

Q.

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

1. 
2. 
   

3. 
   

4. 

Q. If $\sec (x-y),\sec x,\sec (x+y)$ are in A.P. and $\sec y\ne 1$, then the angle $y$ can lie in the

1. $I$ quadrant
2. $II$ quadrant
3. $III$ quadrant
4. $IV$ quadrant

Q.

A circle intersect y axis at a distance b from origin and intercept on x-axis is 2a. The locus of the centre of the circle is?

Q.

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

1. $\sqrt{41}$

2. $\sqrt{34}$

3. 4

4. 5

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. The distance of the point P (a, b, c) from the x-axis is
(a) $\sqrt{b^2+c^2}$

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

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

(d) none of these

Q. A point on the straight line, $3x+5y=15$ which is equidistant from the coordinate axes will lie only in:

1. $1^{\text{st}},2^{\text{nd}}$ and $4^{\text{th}}$ quadrants
2. $1^{\text{st}}$ quadrant
3. $1^{\text{st}}$ and $2^{\text{nd}}$ quadrants
4. $4^{\text{th}}$ quadrant

Q. $P$ is a point such that the sum of the squares of its distances from the planes $x+y+z=0$, $x+y-2z=0,x-y=0$ is $5$, then the locus of $P$ is

1. $x^2+y^2+z^2=25$
2. $x^2+y^2+z^2=10$
3. $x^2+y^2+z^2=5$
4. $x^2+y^2+z^2=50$

Q. Find the distance of the point (2, 3, 4) from the x-axis.

Q.

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

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

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

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

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

Q.

Given an example of a map
(iii) which is neither one-one nor onto.