# February 2024

Q) If the mth term of an AP is 1/n and the nth term is 1/m, then show that the sum of (mn)th term is (mn+1). Ans:  Let first term of the given AP = a Common difference of the given AP = d Then, …………….(I) …………….(ii) Subtracting equation (ii) from equation (ii),we get Putting […]

Q) Solve the following pair of linear equations: Ans:  Given the equations: ……….. (i) ………….(ii) Step 1: Let’s multiply equation (i) by b2  and add to equation (ii), we get: ……….. (i) ∴ ……….. (i) ∴ ……….. (i) ∴ b2 x + a2 x = a ( a2 + b2 ) ∴ x (a2 + b2

Q) Solve the following pair of linear equations: (a – b) x + (a + b) y = a2 – 2 a b – b2 (a + b) (x + y) = a2 + b2 Ans:  Given the equations: (a – b) x + (a + b) y = a2 – 2 a b – b2……

Q) Solve the following pair of linear equations: 152x – 378y = – 74– 378 x + 152y = – 604 Ans:  Given the equations: Solve the following pair of linear equations:152 x – 378 y = – 74 ….. (i)– 378 x + 152 y = – 604 ….. (ii) We need to first

Q) Solve the following pair of linear equations: ax + by = c  bx + ay = 1 + c Ans:  Given the equations: a x + b y = c ….. (i)b x + a y = 1 + c ….. (ii) Let’s multiply equation (i) with a and equation (ii) with b and we get: a2

Q) Solve the following pair of linear equations:px + qy = p – qqx – py = p + q Ans:  Given the equations: Solve the following pair of linear equations:px + qy = p – q …………. (i)qx – py = p + q ………….. (ii) Let’s multiply equation (i) with p and equation

Q) A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30∘, which is approaching to the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to

Q)  Ans:  Here, – – – Please do press “Heart” button if you liked the solution.

Q) Find the sum of 𝑛 terms of the series (4 −1/𝑛) + (4 −2/𝑛) + (4 −3/𝑛) +….. Ans:  Method 1: The AP (4 −1/𝑛) + (4 −2/𝑛) + (4 −3/𝑛) +…..  can be re-arranged as: (4 + 4 + 4 + 4 + …..  up to 𝑛 terms ) – (1 + 2

Q) If , then find the value of  , where α is in IV quadrant. Ans:   Since, We know that Now since, α is in IV quadrant, therefore value of will be negative only. Now, Therefore Please do press “Heart” button if you liked the solution.

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