Coordinate Geometry – Page 30

Show-that-the-locus-of-a-point-which-moves-so-that-its-distance-from-the-point-ae-0-is-e-times-its-distance-from-the-line-x-a-e-is-given-by-the-equation-x-2-a-2-y-2-a-2-1-e-2-1-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51271 by peter frank last updated on 25/Dec/18 $S h o w t h a t t h e l o c u s o f a$ $p o i n t w h i c h m o v e s s o$ $t h a t i t s d i s t a n c e f r o m$ $t h e p o i n t (a e, 0) i s e t i m e s$ $i t s d i s t a n c e f r o m t h e$ $l i n e x = \frac{a}{e} i s g i v e n b y t h e$ $e q u a t i o n$ $$\frac{{x}^{\mathrm{2}}…

Prove-that-line-y-mx-3-4-m-1-m-touches-the-parabola-y-2-4x-3-whatever-the-value-of-m-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51236 by peter frank last updated on 25/Dec/18 $P r o v e t h a t l i n e y = m x + \frac{3}{4} m + \frac{1}{m}$ $t o u c h e s t h e p a r a b o l a$ $y^{2} = 4 x + 3 w h a t e v e r t h e$ $v a l u e o f m$ Answered by mr W last…

Question-51181

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51181 by ajfour last updated on 24/Dec/18 Commented by ajfour last updated on 24/Dec/18 $F i n d p a r a m e t e r s a a n d b o f m a x i m u m$ $a r e a e l l i p s e w i t h i n s e c t o r o f r a d i u s$ $r a n d c e n t r a l a n g l e α .$ Answered by…

Show-that-the-equation-of-tangent-to-the-ellipse-x-2-a-2-y-2-b-2-1-at-the-end-of-lactus-rectum-which-lie-in-the-1-st-quadrant-is-xe-y-a-0-merry-X-mas-and-happy-new-year-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51156 by peter frank last updated on 24/Dec/18 $S h o w t h a t t h e e q u a t i o n$ $o f t a n g e n t t o t h e e l l i p s e$ $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 a t t h e e n d o f$ $l a c t u s r e c t u m w h i c h$ $${lie}\:{in}\:{the}\:\mathrm{1}^{{st}} {quadrant}\:{is} \…

Find-the-equation-of-tangent-to-the-ellipse-x-2-4y-2-4-which-are-perpendicular-to-the-line-2x-3y-1-merry-X-mas-and-happy-new-year-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51151 by peter frank last updated on 24/Dec/18 $F i n d t h e e q u a t i o n o f$ $t a n g e n t t o t h e e l l i p s e$ $x^{2} + 4 y^{2} = 4 w h i c h a r e$ $p e r p e n d i c u l a r t o t h e$ $l i n e 2 x - 3 y = 1$ $$\ast{merry}\:{X}−{mas}\:{and}\:{happy}\:{new}\:{year}\ast…

Question-51134

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 51134 by ajfour last updated on 24/Dec/18 Commented by ajfour last updated on 24/Dec/18 $F i n d θ i n t e r m s o f a a n d b s u c h t h a t$ $t h e t w o c o l o u r e d a r e a s a r e e q u a l .$ Answered by mr W…

a-Normal-to-any-point-on-the-hyperbola-XY-C-meet-the-x-axis-at-A-and-tangents-meets-the-y-axis-at-B-find-the-locus-of-the-mid-point-of-AB-b-find-the-equation-of-assymptotes-of-i-x-2-4-y-2-5-1

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 50979 by peter frank last updated on 23/Dec/18 $a) N o r m a l t o a n y p o i n t o n$ $t h e h y p e r b o l a X Y = C$ $m e e t t h e x - a x i s a t A$ $a n d t a n g e n t s m e e t s$ $t h e y - a x i s a t B . f i n d t h e$ $l o c u s o f t h e m i d p o i n t o f A B$ $b) f i n d t h e e q u a t i o n o f$ $${assymptotes}\:{of}…

Find-interms-of-a-b-the-value-of-c-which-makes-the-line-y-mx-c-a-tangent-to-the-parabola-y-2-4ax-also-obtain-the-coordinate-of-the-point-of-contact-b-find-the-equation-of-tangent-x-2-4-y-2-9

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 50977 by peter frank last updated on 22/Dec/18 $F i n d i n t e r m s o f a, b t h e$ $v a l u e o f c w h i c h m a k e s$ $t h e l i n e y = m x + c$ $a t a n g e n t t o t h e p a r a b o l a$ $y^{2} = 4 a x . a l s o o b t a i n t h e$ $c o o r d i n a t e o f t h e p o i n t o f$ $${contact} \…

Question-50963

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 50963 by ajfour last updated on 22/Dec/18 Commented by ajfour last updated on 22/Dec/18 $F i n d e q u a t i o n o f p a r a b o l a f o r t h e$ $t w o c o l o u r e d a r e a s t o b e e q u a l .$ Answered by mr W…

Question-50952

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 50952 by ajfour last updated on 22/Dec/18 Commented by ajfour last updated on 22/Dec/18 $F i n d m a x i m u m a r e a b e t w e e n t h e$ $p a r a b o l a a n d i t s c h o r d o f l e n g t h l .$ Commented by mr W…

Category: Coordinate Geometry