Coordinate Geometry – Page 45

Question-39175

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 39175 by ajfour last updated on 03/Jul/18 Answered by MJS last updated on 03/Jul/18 $let d > R + r$ $2 rectangular triangles :$ $d^{2} - {(R - r)}^{2} = p^{2}$ $${d}^{\mathrm{2}}…

Question-170181

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Question Number 170181 by cortano1 last updated on 17/May/22 Answered by som(math1967) last updated on 18/May/22 $\frac{1}{2} \times A B \times 4.5 = \frac{1}{2} \times B C \times 5.5$ $A B : B C = 11 : 9$ $l e t A B = 11 k, B C = 9 k$ $∴ B D = \frac{B C}{2} = 4.5 k$ $$\therefore\left(\mathrm{11}{k}\right)^{\mathrm{2}}…

Question-170012

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Question Number 170012 by cortano1 last updated on 14/May/22 Answered by som(math1967) last updated on 14/May/22 $F r o m △ A B C$ $\frac{A C}{s i n 50} = \frac{B C}{s i n 30} [∵ ∡ A B C = 180 - 100 - 30 = 50]$ $f r o m △ D B C$ $\frac{B D}{s i n 100} = \frac{B C}{s i n x}$ $$\:\frac{{BD}}{{sin}\mathrm{50}}=\frac{{BC}}{{sinxsin}\mathrm{50}}×{sin}\left(\mathrm{180}−\mathrm{80}\right)…

Question-38936

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Question Number 38936 by ajfour last updated on 01/Jul/18 Commented by ajfour last updated on 01/Jul/18 $F i n d t h e l o c u s o f p o i n t P (t h e$ $p o i n t o f i n t e r s e c t i o n o f t a n g e n t s$ $${to}\:{ellipse}\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1}\:\:.\:{The}\:{tangents}…

Question-169947

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Question Number 169947 by cortano1 last updated on 13/May/22 Commented by cortano1 last updated on 13/May/22 Answered by Rasheed.Sindhi last updated on 13/May/22 $${BD}=\mathrm{1}\left({say}\right)\Rightarrow{AC}=\mathrm{2} \…

Question-104309

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Question Number 104309 by ajfour last updated on 20/Jul/20 Commented by ajfour last updated on 20/Jul/20 $A, B a r e t w o v e r t i c e s o f △ A B C$ $w h i l e H i s i t s o r t h o c e n t e r; f i n d$ $c o o r d i n a t e s o f t h e v e r t e x C$ $o f t h e △ A B C .$ …

Question-169821

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Question Number 169821 by cortano1 last updated on 10/May/22 Answered by floor(10²Eta[1]) last updated on 10/May/22 $let AD = a = DC and BD = b$ $by law of sines :$ $\frac{a}{\sin 30 °} = \frac{b}{sinx}$ $\frac{a}{\sin 105 °} = \frac{b}{\sin (45 ° - x)}, 45 ° - x = ∠ BAC$ $$\Rightarrow\mathrm{a}=\frac{\mathrm{b}}{\mathrm{2sinx}}…

The-radius-of-the-largest-circle-which-passes-through-1-2-and-3-4-and-lies-completely-in-the-first-quadrant-is-A-3-B-2-C-6-D-2-5-I-got-the-answer-as-2-but-the-answer-given-is-2-5-

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 38613 by rish@bh last updated on 27/Jun/18 $The radius of the largest circle which$ $passes through (1, 2) and (3, 4) and lies$ $completely in the first quadrant is$ $A) 3$ $B) 2$ $C) \sqrt{6}$ $D) 2 \sqrt{5}$ $$\mathrm{I}\:\mathrm{got}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{as}\:\mathrm{2}\:\mathrm{but}\:\mathrm{the}\:\mathrm{answer}\: \…

Question-103986

Tinku Tara June 4, 2023 Coordinate Geometry 0 Comments

Question Number 103986 by ajfour last updated on 18/Jul/20 Commented by ajfour last updated on 18/Jul/20 $I f b o t h c o l o u r e d r e g i o n s h a v e e q u a l$ $a r e a, f i n d x_{A}, x_{B} .$ Answered by…

Question-38289

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Question Number 38289 by Tinkutara last updated on 23/Jun/18 Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jun/18 $c e n t r e (- g, - f) l i e s o n a x + b y + d = 0$ $a (- g) + b (- f) + d = 0$ $λ (- g) - a (- f) + μ g + k = 0$ $g (- a) + f (- b) + d = 0$ $${g}\left(−\lambda+\mu\right)+{f}\left({a}\right)+{k}=\mathrm{0}…

Category: Coordinate Geometry