Match the following : coloumn1coloumn2(A)The shortest distance between

1.	Match the following : coloumn1coloumn2(A)The shortest distance between the lines(P)13x−33=y−8−1=z−31 and x+3−3=y+72=z−64(B)The distance of the point of intersection of the line(Q)√2109110x−23=y+14=z−212 and the plane x−y+z=5 from the point (−1,−5,−10) is(C) The length of the perpendicular drawn from the point (5,4,−1)(R)2 on the line x−12=y9=z5is(D) The distance between the points P and Q is d and the length of(S)3√30 the projection of PQ on the co−ordinate planes are d1, d2, d3 then d12+d22+kd2 when k is
Answer» Match the following : $\begin{matrix} c o l o u m n 1 & c o l o u m n 2 (A) & T h e s h o r t e s t d i s t a n c e b e t w e e n t h e l i n e s & (P) & 13 \frac{x - 3}{3} = \frac{y - 8}{- 1} = \frac{z - 3}{1} a n d \frac{x + 3}{- 3} = \frac{y + 7}{2} = \frac{z - 6}{4} (B) & T h e d i s t a n c e o f t h e p o i n t o f i n t e r s e c t i o n o f t h e l i n e & (Q) & \sqrt{\frac{2109}{110}} \frac{x - 2}{3} = \frac{y + 1}{4} = \frac{z - 2}{12} a n d t h e p l a n e x - y + z = 5 f r o m t h e p o i n t (- 1, - 5, - 10) i s (C) & T h e l e n g t h o f t h e p e r p e n d i c u l a r d r a w n f r o m t h e p o i n t (5, 4, - 1) & (R) & 2 o n t h e l i n e \frac{x - 1}{2} = \frac{y}{9} = \frac{z}{5} i s (D) & T h e d i s t a n c e b e t w e e n t h e p o i n t s P a n d Q i s d a n d t h e l e n g t h o f & (S) & 3 \sqrt{30} t h e p r o j e c t i o n o f P Q o n t h e c o - o r d i n a t e p l a n e s a r e d_{1}, d_{2}, d_{3} t h e n {d_{1}}^{2} + {d_{2}}^{2} + k d^{2} w h e n k i s \end{matrix}$

Match the following : coloumn1coloumn2(A)The shortest distance between the lines(P)13x−33=y−8−1=z−31 and x+3−3=y+72=z−64(B)The distance of the point of intersection of the line(Q)√2109110x−23=y+14=z−212 and the plane x−y+z=5 from the point (−1,−5,−10) is(C) The length of the perpendicular drawn from the point (5,4,−1)(R)2 on the line x−12=y9=z5is(D) The distance between the points P and Q is d and the length of(S)3√30 the projection of PQ on the co−ordinate planes are d1, d2, d3 then d12+d22+kd2 when k is

Answer»

Match the following :

$\begin{matrix} c o l o u m n 1 & c o l o u m n 2 (A) & T h e s h o r t e s t d i s t a n c e b e t w e e n t h e l i n e s & (P) & 13 \frac{x - 3}{3} = \frac{y - 8}{- 1} = \frac{z - 3}{1} a n d \frac{x + 3}{- 3} = \frac{y + 7}{2} = \frac{z - 6}{4} (B) & T h e d i s t a n c e o f t h e p o i n t o f i n t e r s e c t i o n o f t h e l i n e & (Q) & \sqrt{\frac{2109}{110}} \frac{x - 2}{3} = \frac{y + 1}{4} = \frac{z - 2}{12} a n d t h e p l a n e x - y + z = 5 f r o m t h e p o i n t (- 1, - 5, - 10) i s (C) & T h e l e n g t h o f t h e p e r p e n d i c u l a r d r a w n f r o m t h e p o i n t (5, 4, - 1) & (R) & 2 o n t h e l i n e \frac{x - 1}{2} = \frac{y}{9} = \frac{z}{5} i s (D) & T h e d i s t a n c e b e t w e e n t h e p o i n t s P a n d Q i s d a n d t h e l e n g t h o f & (S) & 3 \sqrt{30} t h e p r o j e c t i o n o f P Q o n t h e c o - o r d i n a t e p l a n e s a r e d_{1}, d_{2}, d_{3} t h e n {d_{1}}^{2} + {d_{2}}^{2} + k d^{2} w h e n k i s \end{matrix}$

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