Coordinate Geometry – Page 80

Question-9048

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 9048 by tawakalitu last updated on 16/Nov/16 Answered by Rasheed Soomro last updated on 16/Nov/16 $a) Straight line : y = mx + c$ $Circle : x^{2} + y^{2} + 2 gx + 2 fy + C_{1} = 0$ $$\mathrm{For}\:\mathrm{intersection}\:\mathrm{we}\:\mathrm{have}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{above}…

Question-8929

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 8929 by kuldeep singh raj last updated on 06/Nov/16 Commented by Rasheed Soomro last updated on 06/Nov/16 $This depends upon the position of C .$ $For example how far is C from A .$ $$\mathrm{So}\:\mathrm{additional}\:\:\mathrm{information}\:\mathrm{is}\:\mathrm{required} \…

Evaluate-0-1-1-2-x-2-y-dx-y-2-x-dy-along-a-straight-line-from-0-1-to-1-2-

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Question Number 139924 by EDWIN88 last updated on 02/May/21 $Evaluate \int_{(0, 1)}^{(1, 2)} [(x^{2} - y) dx + (y^{2} + x) dy]$ $along a straight line from (0, 1) to (1, 2) .$ Answered by TheSupreme last updated on 02/May/21…

Let-consider-I-R-2-a-parametric-curve-1-Prove-that-if-a-lt-b-and-a-b-then-there-exist-t-0-a-b-such-as-t-0-is-colinear-to-b-a-2-Show-that-if-is-regular-and-the-

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Question Number 74300 by ~blr237~ last updated on 21/Nov/19 $L e t c o n s i d e r γ : I \to R^{2} a p a r a m e t r i c c u r v e$ $1) P r o v e t h a t i f a < b a n d γ (a) \neq γ (b) t h e n t h e r e e x i s t t_{0} \in] a, b [$ $s u c h a s γ^{'} (t_{0}) i s c o l i n e a r t o γ (b) - γ (a)$ $2) S h o w t h a t i f γ i s r e g u l a r a n d t h e f u n c t i o n f : I \to R t \to f (t) =∣∣ γ (t) - O (0, 0) ∣∣ i s m a x i m a l i n t_{0} \in I$ $${Then}\:\:\mid{K}_{\gamma} \left({t}_{\mathrm{0}} \right)\mid\geqslant\frac{\mathrm{1}}{{f}\left({t}_{\mathrm{0}} \right)}…

Prove-that-S-x-y-z-R-3-x-2-y-2-z-2-is-a-surface-and-find-out-if-possible-the-tangent-plan-in-O-0-0-0-

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 74301 by ~blr237~ last updated on 21/Nov/19 $P r o v e t h a t S = {(x, y, z) \in R^{3} ∖ x^{2} + y^{2} = z^{2}} i s a s u r f a c e$ $a n d f i n d o u t i f p o s s i b l e t h e t a n g e n t p l a n i n O (0, 0, 0) .$ Answered by mind is power last updated…

show-that-every-sphere-through-the-circle-x-2-y-2-2ax-r-2-0-z-0-z-0-cuts-orthogonally-every-sphere-through-the-circle-x-2-z-2-r-2-y-o-

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Question Number 8756 by trapti rathaur@ gmail.com last updated on 25/Oct/16 $s h o w t h a t e v e r y s p h e r e t h r o u g h t h e c i r c l e x^{2} + y^{2} - 2 a x + r^{2} = 0, z = 0$ $, z = 0 c u t s o r t h o g o n a l l y e v e r y s p h e r e t h r o u g h t h e c i r c l e$ $x^{2} + z^{2} = r^{2}, y = o .$ Terms…

find-the-equation-of-the-sphere-which-touches-the-plane-3x-2y-z-2-0-at-the-point-1-2-1-and-cuts-orthogonally-the-the-sphere-x-2-y-2-z-2-4x-6y-4-0-

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 8755 by trapti rathaur@ gmail.com last updated on 25/Oct/16 $f i n d t h e e q u a t i o n o f t h e s p h e r e w h i c h t o u c h e s t h e p l a n e$ $3 x + 2 y - z + 2 = 0 a t t h e p o i n t (1, - 2, 1) a n d c u t s o r t h o g o n a l l y t h e$ $t h e s p h e r e x^{2} + y^{2} + z^{2} - 4 x + 6 y + 4 = 0$ Terms of Service Privacy…

Let-consider-I-R-2-a-parametric-curve-defined-as-t-I-t-t-2-1-t-3-1-2t-t-3-1-Prove-that-for-a-b-c-I-a-b-c-are-on-the-same-lign-iff-abc-a-b-c-1-

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 74280 by ~blr237~ last updated on 21/Nov/19 $L e t c o n s i d e r α : I \to R^{2} a p a r a m e t r i c c u r v e d e f i n e d a s$ $\forall t \in I α (t) = (\frac{t^{2} - 1}{t^{3} - 1}, \frac{2 t}{t^{3} - 1})$ $P r o v e t h a t f o r a, b, c \in I$ $α (a), α (b), α (c) a r e o n t h e s a m e l i g n i f f a b c = a + b + c + 1$ Commented by MJS…

if-any-angle-of-equilateral-triangle-is-1-2-and-any-one-side-is-x-3y-5-0-then-equation-of-the-other-two-sides-are-

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 8608 by tawakalitu last updated on 17/Oct/16 $if any angle of equilateral triangle is$ $(- 1, 2) and any one side is x - \sqrt{3 y} + 5 = 0$ $then equation of the other two sides are ? ?$ Answered by sandy_suhendra last updated on 18/Oct/16 Answered by…

Question-73919

Tinku Tara June 3, 2023 Coordinate Geometry 0 Comments

Question Number 73919 by necxxx last updated on 16/Nov/19 Commented by necxxx last updated on 16/Nov/19 $G o o d d a y s i r s . T h i s q u e s t i o n w a s f o r m e d$ $a n d s o l v e d b y s o m e o f u s h e r e . I r e a l l y$ $d o n o t r e m e m b e r t h e q u e s t i o n o r$ $a p p r o a c h e s a p p l i e d . P l e a s e h e l p .$ $${Thanks}\:{in}\:{advance}.…

Category: Coordinate Geometry