Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

251.

गुणनखंडन कीजिए: `27x^(3)+y^(3)+z^(3)-9xyz`

Answer» Correct Answer - `(3x+y+z)(9x^(2)+y^(2)+z^(2)-3xy-yz-3xz)`
Discussion
252.

निम्नलिखित में से प्रत्येक का गुणनखंडन कीजिए: (i) `27y^(2)+125z^(3) " (ii) " 64m^(3)-343 n^(3)`

Answer» Correct Answer - (i) `(3y+5z)(9y^(2)+25z^(2)-15yz) " (ii) " (4m-7n)(16m^(2)+49n^(2)+28mn)`
Discussion
253.

निम्नलिखित में से प्रत्येक का गुणनखंडन कीजिए : (i) `8a^(3)+b^(3)+12a^(2)b+6ab^(2) " (ii) " 8a^(3)-b^(3)-12a^(2)b+6ab^(2)` (iii) `27-125a^(3)-135a+225 a^(2) " (iv) " 64a^(3)-27b^(3)-144 a^(2)b+108ab^(2)` (v) `27p^(3)-(1)/(216)-(9)/(2)p^(2)+(1)/(4)p`

Answer» Correct Answer - (i) `(2a+b)(2a+b)(2a+b) " (ii) " (2a-b)(2a-b)(2a-b) `
(iii) `(3-5a)(3-5a)(3-5a) " (iv) " (4a-3b) (4a-3b)(4a-3b)`
(v) `(3p-(1)/(6))(3p-(1)/(6))(3p-(1)/(6))`
Discussion
254.

निम्नलिखित घणों को प्रसारित रूप में लिखिए : (i) ` (2x+1)^(3) " (ii) " (2a-3b)^(3)` (iii) ` [(3)/(2)x+1]^(3) " (iv) "[x-(2)/(3)y]^(3)`

Answer» Correct Answer - (i) `8x^(3)+12x^(2)+6x+1 " (ii) " 8a^(3)-27b^(3)-36a^(2)b+54ab^(2)`
(iii) `(27)/(8)x^(3)+(27)/(4)x^(2)+(9)/(2)x+1 " (iv) " x^(3)-(8)/(27)y^(3)-2x^(2)y+(4xy^(2))/(3)`
Discussion
255.

गुणनखंडन कीजिए : (i) `4x^(2)+9y^(2)+16z^(2)+12xy-24yz-16xz` (ii) `2x^(2)+y^(2)+8z^(2)-2sqrt(2)xy+4sqrt(2) yz -8 xz`

Answer» Correct Answer - (i) `(2x+3y-4z)(2x+3y-4z) " (ii) " (-sqrt(2)x+y+2sqrt(2)z)(-sqrt(2)x+y+2sqrt(2)z)`
Discussion
256.

`3p^(2)q^(2)+2p^(3)q+9pq^(2)`

Answer» Correct Answer - `pq(3pq+2p^(2)+9q)`
Discussion
257.

`x^(2)-18x+81` के गुणनखण्ड हैं :A. `(x-9)^(2)`B. `(x-9)(x+9)`C. `(x+3)(x+27)`D. `(x-3)(x-9)`

Answer» Correct Answer - `(x-9)^(2)`
Discussion
258.

`x^(2)+2x+1` के गुणनखण्ड हैं :A. `(x-1)^(2)`B. `(x+1)^(2)`C. `(x-1)(x+1)`D. इनमें से कोई नहीं ।

Answer» Correct Answer - `(x+1)^(2)`
Discussion
259.

`x^(2)+6x+9`

Answer» Correct Answer - `(x+3)^(2)`
Discussion
260.

निम्नलिखित व्यंजकों के गुणनखण्ड कीजिए : (i) `8a^(3)-b^(3)-4ax+2bx` (ii) `x^(3)-12x(x-4)-64`

Answer» Correct Answer - (i) `(2x-b)(4a^(2)+2ab+b^(2)-2x)`
(ii) `(x-4)(x-4)(x-4)`
Discussion
261.

गुणनखण्ड कीजिए : `9x^(2)-12x+4`

Answer» Correct Answer - `(3x-2)^(2)`
Discussion
262.

`8x^(2)+2xy-15y^(2)`

Answer» Correct Answer - `(2x+3y)(4x-5y)`
Discussion
263.

`a^(2)+6a-567`

Answer» Correct Answer - `(a+17)(a-21)`
Discussion
264.

`16x^(2)+56x+13`

Answer» Correct Answer - `(4x+13)(4x+1)`
Discussion
265.

यदि `f(x) ` का भाजक ` x + a ` हो तब शेषफल होगा -A. `f(a)`B. `f(-a)`C. `f(0)`D. इनमें से कोई नहीं ।

Answer» Correct Answer - B
Discussion
266.

यदि `f(x) ` का भाजक ` x - 2 ` हो तब शेषफल होगा -A. `f(2)`B. `f(-2)`C. `f(0)`D. इनमें से कोई नहीं ।

Answer» Correct Answer - A
Discussion
267.

यदि `f(x)` का भाजक `x - a ` हो तब शेषफल होगा -A. `f(a)`B. `f(-a)`C. `f(0)`D. इनमें से कोई नहीं ।

Answer» Correct Answer - A
Discussion
268.

बहुपद `p(x)=x^(2) -3x -4 ` का शून्यक होगा -A. 1B. -2C. 2D. -1

Answer» Correct Answer - D
Discussion
269.

यदि `p(x)= 2x - a ` का मात्रक `(x+a)` हो तो शेषफल होगा -A. `-3a`B. aC. 0D. 2a

Answer» Correct Answer - A
Discussion