CBSE Class 10 Sample Paper for 2027 Boards - Maths Standard

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Question 27 - CBSE Class 10 Sample Paper for 2027 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at October 9, 2026 by

Question 27 — slide 77

Question 27 — slide 78

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Transcript

Question 27 If 𝛼 and 𝛽 are the zeroes of the quadratic polynomial 2π‘₯^(2)βˆ’8π‘₯+5, then find the value of (𝛼+(1)/(𝛽))Γ—(𝛽+(1)/(𝛼)). We need to find the value of (𝜢+(𝟏)/(𝜷))Γ—(𝜷+(𝟏)/(𝜢))=((𝛼β + 1)/(Ξ²)) Γ—((𝛼β + 1)/(𝛼)) =((𝜢𝜷 + 𝟏)^(𝟐))/(𝜢𝜷) Since 𝛼 and 𝛽 are zeroes of 2π‘₯^(2)βˆ’8π‘₯+5 Product of zeroes = (5)/(2) 𝜢𝜷 = (πŸ“)/(𝟐) Now, putting values in our equation (𝜢+(𝟏)/(𝜷))Γ—(𝜷+(𝟏)/(𝜢))=((𝛼𝛽 + 1)^(2))/(𝛼𝛽) =(((πŸ“)/(𝟐) + 𝟏)^(𝟐))/((πŸ“)/(𝟐)) =(((7)/(2))^(2))/((5)/(2)) =((7)/(2))^(2) Γ—(2)/(5) =(49)/(4) Γ—(2)/(5) =(πŸ’πŸ—)/(𝟏𝟎)

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