No products in the cart.

2x+3y=4;(k+2)x+6y=3k+2 find the value of k …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

2x+3y=4;(k+2)x+6y=3k+2 find the value of k if there exists unique solution

Posted by Bhavana Reddy 6 years, 7 months ago

Sia ? 6 years, 7 months ago

{tex}2x + 3y - 4 = 0{/tex}

{tex}a_1= 2, b_1= 3, c_1 = 4{/tex}

{tex}(k + 2)x + 6y-(3k + 2)= 0{/tex}
{tex}a _ { 2 } = k + 2 , b _ { 2 } = 6 , c _ { 2 } = - ( 3 k + 2 ){/tex}

{tex}\frac { a _ { 1 } } { a _ { 2 } } = \frac { b _ { 1 } } { b _ { 2 } } = \frac { c _ { 1 } } { c _ { 2 } }{/tex}

or, {tex}\frac { 2 } { k + 2 } = \frac { 3 } { 6 } = \frac { 4 } {- 3 k - 2 }{/tex}
Or, {tex}\frac { 2 } { k + 2 } = \frac { 3 } { 6 } {/tex}

or, {tex}3(k + 2) = 2 \times 6{/tex}

{tex}3k + 6 = 12{/tex}
{tex}3k = 12 - 6{/tex}

or, {tex}6 = 3k{/tex}

Hence,{tex} k = 2{/tex}

ANSWER

Test

Related Questions

Prove that root 8 is an irration number

Posted by Sahil Sahil 1 year, 5 months ago

CBSE > Class 10 > Mathematics

X-y=5

Posted by Kishan Thakur 1 month, 4 weeks ago

CBSE > Class 10 > Mathematics

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Posted by Hari Anand 7 months ago

CBSE > Class 10 > Mathematics

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Posted by Kanika . 1 month, 4 weeks ago

CBSE > Class 10 > Mathematics