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CBSE
Mathematics
Distance between a point and a line
Find the distance of the line $$4x + 7y + 5 = 0$$ from the point $$\left( {1,2} \right)$$ along the line $$2x - y = 0$$.
A. $$\dfrac{{23}}{7}\sqrt 5 $$ sq units
B. $$\dfrac{{23}}{{18}}\sqrt 5 $$ sq units
C. $$\dfrac{{23}}{8}\sqrt 5 $$ sq units
D. None of these
CBSE
Mathematics
Distance between a point and a line
The distance of the lines \[2x-3y=4\]from the point \[(1,1)\] measured parallel to the line \[x+y=1\] is
1) \[\sqrt{2}\]
2) \[\dfrac{5}{\sqrt{2}}\]
3) \[\dfrac{1}{\sqrt{2}}\]
4) \[6\]
CBSE
Mathematics
Distance between a point and a line
Find the perpendicular distance of a point P (5, 7) from the y-axis.
CBSE
Mathematics
Distance between a point and a line
How do you find in radical form, the distance between the two points (-3,7) and (4,2)?

CBSE
Mathematics
Distance between a point and a line
Show that of all line segments drawn from a point to a line which is not on it, the perpendicular distance is the shortest distance.
CBSE
Mathematics
Distance between a point and a line
What is the distance of the point (p,q,r) from the x-axis?

CBSE
Mathematics
Distance between a point and a line
Find the equation of the locus of a point $ P $ which is equidistant from the straight line $ 3x - 4y + 2 = 0 $ and the origin

CBSE
Mathematics
Distance between a point and a line
Find the distance of point \[\left( 1,-5,9 \right)\] from plane \[x-y+z=5\] measured along the line \[x=y=z\].
CBSE
Mathematics
Distance between a point and a line
Find the difference of the maximum and the minimum distance of a point on the line $x+y-1=0$, where it cuts x-axis with respects to the circle ${{x}^{2}}+{{y}^{2}}-6x-8y+24=0$?
(a) 1,
(b) 2,
(c) $2\sqrt{5}$,
(d) $3\sqrt{5}$.

CBSE
Mathematics
Distance between a point and a line
The shortest distance from the line \[3x\text{ + 4y = 25}\] to the circle \[{{x}^{2}}\text{ + }{{\text{y}}^{2}}\text{ = 6x - 8y}\] is equal to
\[\begin{align}
  & A.\dfrac{1}{2} \\
 & B.\dfrac{7}{5} \\
 & C.\dfrac{11}{5} \\
 & D.\dfrac{1}{3} \\
\end{align}\]

CBSE
Mathematics
Distance between a point and a line
Find the distance of the point (1,1) from the line $ 12\left( x+6 \right)=5\left( y-2 \right) $ .
CBSE
Mathematics
Distance between a point and a line
Find the distance of the point \[P(-1,5)\] from x-axis.
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