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Author: Tinku Tara

Find-the-value-of-a-for-a-4-5-10-

Question Number 47727 by Mawitea Cck last updated on 14/Nov/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:{a}\:\mathrm{for} \\ $$$$\:\:\:\:\:{a}\::\:\mathrm{4}\::\::\:\mathrm{5}\::\:\mathrm{10} \\ $$ Answered by ajfour last updated on 14/Nov/18 $$\Rightarrow\:\frac{{a}}{\mathrm{4}}\:=\:\frac{\mathrm{5}}{\mathrm{10}}\:\:\:\:\:\Rightarrow\:\:\frac{{a}/\mathrm{4}}{\mathrm{1}}=\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\Rightarrow\:\:\:\frac{{a}}{\mathrm{4}}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\Rightarrow\:\:{a}=\frac{\mathrm{4}}{\mathrm{2}}\:=\:\mathrm{2}\:.…

The-root-of-the-equation-2-x-1-1-x-2-3x-x-1-x-1-x-2-0-among-the-following-is-

Question Number 47581 by EagleEye1 last updated on 11/Nov/18 $$\mathrm{The}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\frac{\mathrm{2}}{{x}−\mathrm{1}}\:+\:\frac{\mathrm{1}}{{x}+\mathrm{2}}\:+\:\frac{\mathrm{3}{x}\left({x}+\mathrm{1}\right)}{\left({x}−\mathrm{1}\right)\left({x}+\mathrm{2}\right)}\:=\:\mathrm{0}\:\: \\ $$$$\mathrm{among}\:\mathrm{the}\:\mathrm{following}\:\mathrm{is} \\ $$ Commented by maxmathsup by imad last updated on 12/Nov/18…

Three-six-faced-dice-are-thrown-together-The-probability-that-the-sum-of-the-numbers-appearing-on-the-dice-is-k-3-k-8-is-

Question Number 47481 by limite last updated on 10/Nov/18 $$\mathrm{Three}\:\mathrm{six}−\mathrm{faced}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{thrown} \\ $$$$\mathrm{together}.\:\mathrm{The}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}\:\mathrm{appearing}\:\mathrm{on}\:\mathrm{the}\:\mathrm{dice} \\ $$$$\mathrm{is}\:\:{k}\:\left(\mathrm{3}\leqslant\:{k}\:\leqslant\:\mathrm{8}\right)\:\mathrm{is} \\ $$ Answered by ajfour last updated on 10/Nov/18…

If-the-equation-x-2-px-q-0-has-roots-a-and-b-where-p-q-are-non-zero-constants-Then-

Question Number 47301 by myear last updated on 08/Nov/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{equation}\:{x}^{\mathrm{2}} +{px}+{q}\:=\mathrm{0}\:\mathrm{has}\:\mathrm{roots} \\ $$$${a}\:\mathrm{and}\:{b}\:\mathrm{where}\:{p},\:{q}\:\mathrm{are}\:\mathrm{non}−\mathrm{zero}\: \\ $$$$\mathrm{constants}.\:\mathrm{Then} \\ $$ Answered by Kunal12588 last updated on 08/Nov/18 $$\left({x}−{a}\right)\left({x}−{b}\right)={x}^{\mathrm{2}}…

The-third-term-of-a-GP-is-4-The-product-of-first-five-terms-is-

Question Number 46925 by 786786AM last updated on 02/Nov/18 $$\mathrm{The}\:\mathrm{third}\:\mathrm{term}\:\mathrm{of}\:\mathrm{a}\:\mathrm{GP}\:\mathrm{is}\:\mathrm{4}.\:\mathrm{The}\:\mathrm{product} \\ $$$$\mathrm{of}\:\mathrm{first}\:\mathrm{five}\:\mathrm{terms}\:\mathrm{is} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18 $$\frac{{a}}{{r}},{a},{ar},{ar}^{\mathrm{2}} ,{ar}^{\mathrm{3}} \\ $$$${given}\:\:{ar}=\mathrm{4}…

If-a-x-px-a-y-qy-a-z-rz-and-p-q-r-are-in-AP-then-x-y-z-will-be-in-

Question Number 46924 by 786786AM last updated on 02/Nov/18 $$\mathrm{If}\:\:\frac{{a}−{x}}{{px}}\:=\:\frac{{a}−{y}}{{qy}}\:=\:\frac{{a}−{z}}{{rz}}\:\mathrm{and}\:{p},\:{q},\:{r}\:\:\mathrm{are} \\ $$$$\mathrm{in}\:\mathrm{AP},\:\mathrm{then}\:{x},\:{y},\:{z}\:\:\mathrm{will}\:\mathrm{be}\:\mathrm{in} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18 $$\frac{{a}−{x}}{{px}}=\frac{{a}−{y}}{{qy}}=\frac{{a}−{z}}{{rz}}=\frac{\mathrm{1}}{{k}}\left({say}\right) \\ $$$${px}={k}\left({a}−{x}\right) \\…

a-b-c-are-in-AP-or-GP-or-HP-according-as-a-b-b-c-is-equal-to-

Question Number 46923 by 786786AM last updated on 02/Nov/18 $${a},\:{b},\:{c}\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}\:\mathrm{or}\:\mathrm{GP}\:\mathrm{or}\:\mathrm{HP}\:\mathrm{according} \\ $$$$\mathrm{as}\:\frac{{a}−{b}}{{b}−{c}}\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18 $$ \\ $$$$\left.\mathrm{1}\right)\:{when}\:{a},{b},{c}\:{are}\:{in}\:{A}.{P} \\…

Thr-6th-term-of-an-AP-is-equal-to-2-the-value-of-the-common-difference-of-the-AP-Which-makes-the-product-a-1-a-4-a-5-least-is-given-by-

Question Number 46922 by 786786AM last updated on 02/Nov/18 $$\mathrm{Thr}\:\mathrm{6th}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{2},\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}\:\mathrm{of}\:\mathrm{the}\:\mathrm{AP}. \\ $$$$\mathrm{Which}\:\mathrm{makes}\:\mathrm{the}\:\mathrm{product}\:{a}_{\mathrm{1}} \:{a}_{\mathrm{4}} \:{a}_{\mathrm{5}} \:\mathrm{least} \\ $$$$\mathrm{is}\:\mathrm{given}\:\:\mathrm{by} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…

The-sum-of-first-two-terms-of-an-infinite-GP-is-1-and-every-term-is-twice-the-sum-of-the-successive-terms-Its-first-term-is-

Question Number 46921 by 786786AM last updated on 02/Nov/18 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:\mathrm{two}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{infinite} \\ $$$$\mathrm{GP}\:\mathrm{is}\:\mathrm{1}\:\mathrm{and}\:\mathrm{every}\:\mathrm{term}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{successive}\:\mathrm{terms}.\:\mathrm{Its}\:\mathrm{first}\:\mathrm{term}\:\mathrm{is} \\ $$ Answered by peter frank last updated on 02/Nov/18 $$\mathrm{a}+\mathrm{ar}=\mathrm{1}…..\left(\mathrm{1}\right)…