Coordinate Geometry – Page 28

Prove-that-the-two-parabola-y-2-4ax-and-y-2-4c-x-b-cannot-have-a-common-normal-other-than-the-axis-unless-b-a-c-gt-2-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51901 by peter frank last updated on 31/Dec/18 $P r o v e t h a t t h e t w o$ $p a r a b o l a y^{2} = 4 a x a n d$ $y^{2} = 4 c (x - b) c a n n o t$ $h a v e a c o m m o n n o r m a l$ $o t h e r t h a n t h e a x i s u n l e s s$ $\frac{b}{a - c} > 2$ …

Question-51869

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51869 by prakash jain last updated on 31/Dec/18 Commented by prakash jain last updated on 31/Dec/18 $Correct answer given is 2 / 9 .$ $I think mininum is 0 .$ Answered by…

If-p-and-q-are-the-length-of-perpendicular-from-the-origin-to-the-lines-xcos-ysin-kcos2-and-xsec-ycosec-k-respectively-prove-that-p-2-4q-2-k-2-

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Question Number 51822 by peter frank last updated on 30/Dec/18 $I f p a n d q a r e t h e l e n g t h$ $o f p e r p e n d i c u l a r f r o m$ $t h e o r i g i n t o t h e l i n e s$ $x \cos θ - y \sin θ = k c o s 2 θ$ $a n d x \sec θ + y cosec θ = k$ $r e s p e c t i v e l y$ $p r o v e t h a t$ $${p}^{\mathrm{2}}…

Find-the-relation-between-the-ecentric-angles-of-the-point-which-are-at-the-end-of-focal-chord-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51818 by peter frank last updated on 30/Dec/18 $F i n d t h e r e l a t i o n b e t w e e n$ $t h e e c e n t r i c a n g l e s$ $o f t h e p o i n t w h i c h a r e$ $a t t h e e n d o f f o c a l c h o r d$ Terms of Service Privacy Policy Contact:…

The-earth-moves-arround-the-sun-in-an-elliptical-orbit-with-the-sun-at-one-of-its-foci-the-eccentricity-1-3-the-shortest-distance-from-the-earth-to-sun-is-3000000km-Find-the-furthest-distance-of-th

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Question Number 51817 by peter frank last updated on 30/Dec/18 $T h e e a r t h m o v e s a r r o u n d$ $t h e s u n i n a n e l l i p t i c a l$ $o r b i t w i t h t h e s u n a t$ $o n e o f i t s f o c i . t h e e c c e n t r i c i t y$ $\frac{1}{3} . t h e s h o r t e s t d i s t a n c e$ $f r o m t h e e a r t h t o s u n$ $i s 3000000 k m . F i n d t h e$ $${furthest}\:{distance}\:{of}\:{the}…

Question-51712

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Question Number 51712 by ajfour last updated on 29/Dec/18 Commented by ajfour last updated on 29/Dec/18 $I f A B = l = π R / 2, f i n d l o c u s o f$ $m i d p o i n t o f r o d a s i t r o l l s a r o u n d$ $t h e c i r c l e .$ Commented by…

x-t-1-y-2t-3-z-t-2-x-3t-2-y-t-1-z-t-1-Are-these-two-lines-located-in-the-same-plane-or-not-where-t-R-

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Question Number 182772 by Acem last updated on 14/Dec/22 $χ {\begin{cases} x = t + 1 \\ y = 2 t - 3 \\ z = - t + 2 \end{cases} Δ {\begin{cases} x = 3 t + 2 \\ y = - t - 1 \\ z = t + 1 \end{cases} {\begin{cases} A r e t h e s e t w o l i n e s l o c a t e d \\ i n t h e s a m e p l a n e o r n o t ? \\ w h e r e t \in R \end{cases}$ Answered by mr W last updated on 14/Dec/22 $M e t h o d I$ $${line}\:\mathrm{1}:\:\left(\mathrm{1},−\mathrm{3},\mathrm{2}\right)+{s}\left(\mathrm{1},\mathrm{2},−\mathrm{1}\right)…

Question-51694

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51694 by peter frank last updated on 29/Dec/18 Answered by tanmay.chaudhury50@gmail.com last updated on 29/Dec/18 $p o i n t p (a c o s θ, b s i n θ)$ $t a n g e n t a t p o i n t p i s \frac{x c o s θ}{a} + \frac{y s i n θ}{b} = 1$ $\frac{y s i n θ}{b} = 1 - \frac{x c o s θ}{a}$ $${y}=\frac{{b}}{{sin}\theta}−\frac{{b}}{{sin}\theta}×\frac{{cos}\theta}{{a}}{x}\:\:\left[{slope}=−\frac{{b}}{{a}}{cot}\theta\right] \…

Prove-that-length-of-lactus-rectum-when-directrix-are-parallel-to-y-axis-is-y-1-y-2-2b-2-a-

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Question Number 51614 by peter frank last updated on 29/Dec/18 $P r o v e t h a t l e n g t h o f$ $l a c t u s r e c t u m w h e n$ $d i r e c t r i x a r e p a r a l l e l t o$ $y - a x i s i s$ $y_{1} - y_{2} = \frac{2 b^{2}}{a}$ Answered…

Find-the-equation-of-the-ellipse-with-ecentricity-1-2-and-the-focus-2-1-Does-the-line-x-3-touches-ellipse-if-so-at-what-point-if-line-x-5-is-the-line-of-direction-

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Question Number 51612 by peter frank last updated on 29/Dec/18 $F i n d t h e e q u a t i o n o f$ $t h e e l l i p s e w i t h e c e n t r i c i t y$ $\frac{1}{2} a n d t h e f o c u s (2, 1)$ $D o e s t h e l i n e x = 3 t o u c h e s$ $e l l i p s e . i f s o a t w h a t$ $p o i n t ? i f l i n e x = 5 i s t h e$ $l i n e o f d i r e c t i o n .$ …

Category: Coordinate Geometry