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Category: Coordinate Geometry

Question-4317

Question Number 4317 by shiv009 last updated on 10/Jan/16 Commented by prakash jain last updated on 10/Jan/16 $$\mathrm{Vertices}\:\mathrm{of}\:\mathrm{triangle}\:\left(\mathrm{1},\mathrm{3}\right),\:\left(\mathrm{4},−\mathrm{1}\right)\: \\ $$$$\mathrm{area}\:\mathrm{5}.\:\mathrm{Find}\:\mathrm{position}\:\mathrm{of}\:\mathrm{3}^{\mathrm{rd}} \mathrm{vertex}. \\ $$$$\left(\mathrm{0},\:\mathrm{2tan}^{−\mathrm{1}} \frac{\mathrm{5}}{\mathrm{4}}\right) \\…

A-curve-is-defined-by-f-x-What-is-the-length-of-curve-from-x-a-to-x-b-

Question Number 3291 by Rasheed Soomro last updated on 09/Dec/15 $$\mathcal{A}\:{curve}\:{is}\:{defined}\:\:{by}\:{f}\left({x}\right).\mathcal{W}{hat}\:{is}\:{the}\:{length} \\ $$$${of}\:{curve}\:{from}\:{x}={a}\:\:{to}\:\:{x}={b}\:? \\ $$ Answered by 123456 last updated on 09/Dec/15 $$\mathrm{if}\:{f}\:\mathrm{is}\:\mathrm{differentiable} \\ $$$$\underset{{a}}…

The-straight-line-x-y-1-0-meets-the-cicle-x-2-y-2-6x-8y-0-at-A-and-B-Then-find-the-equation-of-circle-of-which-AB-is-diameter-

Question Number 134287 by EDWIN88 last updated on 02/Mar/21 $$\mathrm{The}\:\mathrm{straight}\:\mathrm{line}\:\mathrm{x}+\mathrm{y}−\mathrm{1}=\mathrm{0}\:\mathrm{meets}\:\mathrm{the}\:\mathrm{cicle} \\ $$$$\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} −\mathrm{6x}−\mathrm{8y}\:=\:\mathrm{0}\:\mathrm{at}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:.\:\mathrm{Then}\:\mathrm{find} \\ $$$$\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{which}\:\mathrm{AB}\:\mathrm{is}\:\mathrm{diameter} \\ $$ Answered by bramlexs22 last updated on 02/Mar/21…

If-u-and-v-are-the-roots-of-equation-6x-2-6px-14p-2-0-where-u-v-non-integer-and-u-v-1-then-the-value-of-u-v-is-a-14-b-15-c-16-d-17-e-18-

Question Number 133892 by EDWIN88 last updated on 25/Feb/21 $$\mathrm{If}\:{u}\:\mathrm{and}\:{v}\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{equation}\: \\ $$$$\mathrm{6x}^{\mathrm{2}} −\mathrm{6px}\:+\mathrm{14p}−\mathrm{2}=\mathrm{0},\:\mathrm{where}\:{u}\:;\:{v}\:\mathrm{non}\:\mathrm{integer} \\ $$$$\mathrm{and}\:{u},\:{v}\:\geqslant\:\mathrm{1}\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mid{u}−{v}\mid\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{14}\:\:\:\:\:\left(\mathrm{b}\right)\:\mathrm{15}\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{16}\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{17}\:\:\:\:\left(\mathrm{e}\right)\:\mathrm{18} \\ $$ Terms of Service Privacy Policy Contact:…

A-circle-with-radius-1-centered-at-0-0-is-conjoined-to-a-circle-of-radius-2-centered-at-2-0-Forming-a-single-shape-what-is-the-shape-s-area-

Question Number 133771 by bramlexs22 last updated on 24/Feb/21 $$\mathrm{A}\:\:\mathrm{circle}\:\mathrm{with}\:\mathrm{radius}\:\mathrm{1}\:\mathrm{centered} \\ $$$$\mathrm{at}\:\left(\mathrm{0},\mathrm{0}\right)\:\mathrm{is}\:\mathrm{conjoined}\:\mathrm{to}\:\mathrm{a}\:\mathrm{circle} \\ $$$$\mathrm{of}\:\mathrm{radius}\:\mathrm{2}\:\mathrm{centered}\:\mathrm{at}\:\left(\mathrm{2},\mathrm{0}\right).\: \\ $$$$\mathrm{Forming}\:\mathrm{a}\:\mathrm{single}\:\mathrm{shape}\:.\mathrm{what}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{shape}'\mathrm{s}\:\mathrm{area}? \\ $$ Commented by bramlexs22 last updated…

I-have-4-collinear-points-A-a-0-B-b-0-C-c-0-and-D-d-0-where-a-b-c-d-gt-0-Find-a-point-E-x-y-such-that-the-following-expression-is-minimised-2-AE-BE-CE-DE-

Question Number 2672 by Yozzi last updated on 24/Nov/15 $${I}\:{have}\:\mathrm{4}\:{collinear}\:{points}\:{A}\left({a},\mathrm{0}\right), \\ $$$${B}\left({b},\mathrm{0}\right),\:{C}\left({c},\mathrm{0}\right)\:{and}\:{D}\left({d},\mathrm{0}\right)\:{where}\: \\ $$$$\forall{a},{b},{c},{d}>\mathrm{0}.\:{Find}\:{a}\:{point}\:{E}\left({x},{y}\right)\:{such} \\ $$$${that}\:{the}\:{following}\:{expression}\:{is} \\ $$$${minimised}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}\left({AE}+{BE}+{CE}+{DE}\right). \\ $$ Commented by Rasheed…