Q. Divide the polynomial x3 – 3 x2 + 5 x – 3 by x2 – 2 Ans: To divide the given polynomial, we can write the function as: = = = = = = = = = = = = Therefore, When we divide X3 – 3 X2 + 5 X – 3 by X2 […]
Divide the polynomial x³ – 3x² + 5x – 3 by x² – 2 Read More »
Q. Solve the quadratic equation: 2 X^2 – 7 X + 3 = 0 Ans: Given equation is: 2 X ^2 – 7 X + 3 = 0 ∴ 2 X ^2 – 6 X – X + 3 = 0 ∴ 2 X (X – 3) – 1 (X – 3) = 0 ∴
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Q) Find the value of ‘k’ for which the quadratic equation (k + 1) x 2 – 2 (3 k + 1) x + (8 k + 1) = 0 has real and equal roots. [CBSE 2024 – Series 4 – Set 2] Ans: Given quadratic equation is: (k + 1) x
Find the value of c for which the quadratic equation (c + 1) y2 – 6(c+1) y + 3(c+9)= 0 Read More »
Q) Find the zeroes of the polynomial 4×2 + 4x – 3 and verify the relationship between zeroes and coefficients of the polynomial. Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, 4 x2 + 4 x – 3 = 0 Step 1: Let’s start calculating the
Q) If 𝛼, β are zeroes of quadratic polynomial x2 + x – 2, find the value of Ans: In the given polynomial equation f(x), to find zeroes, we will start with f(x) = 0 Therefore, x2 + x – 2 = 0 Step 1: Given that the roots of the polynomial are α and
If 𝛼, β are zeroes of quadratic polynomial x2 + x – 2, find the value of 𝛼/𝛽 + 𝛽 /𝛼. Read More »
Q) Find the value of ‘c’ for which the quadratic equation (c + 1) x2 – 6 (c + 1) x + 3 (c + 9) = 0; c ≠ 1 has real and equal roots. [CBSE 2024 – Series 4 – Set 1] Ans: Given quadratic equation is: (c +
Find the value of c for which the quadratic equation (c + 1) y2 – 6(c+1) y + 3(c+9)= 0 Read More »
Q) A train travels a distance of 90 km at a constant speed. Had the speed been 15 km/h more, it would have taken 30 minutes less for the journey. Find the original speed of the train. Ans: Let’s consider the speed of the train is X km/hr. Now, to cover distance of 90 km, it
Q) If 𝛼 and β are zeroes of a polynomial 6 x2 – 5 x + 1, then form a quadratic polynomial whose zeroes are 𝛼2 and 𝛽2 . Ans: Step 1: Given polynomial equation 6 x2 – 5 x + 1 = 0 Comparing with standard polynomial, ax2 + b x + c =
Q) Find the zeroes of the quadratic polynomial x2 – 15 and verify the relationship between the zeroes and the coefficients of the polynomial. Ans: In the given polynomial equation, to find zeroes, we will start with f(x) = 0 Therefore, x2 – 15 = 0 Step 1: Let’s start calculating the zeroes of the
Find the zeroes of the quadratic polynomial x2 – 15 and verify the relationship Read More »
Q) In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/h and by doing so, the time of flight is increased by 30 minutes. Find the original duration of the flight. Ans: Let’s consider original Speed of the flight be S and
In a flight of 2800 km, an aircraft was slowed down due to bad weather. Read More »