Question
If x - √3 y = 8 Find the slope in
angle?Solution
y = mx + c Where, m is the slope. According to question, x - √3 y = 8 - √3 y = 8 - x √3 y = x - 8 y = x/√3 - 8/√3 tany = 1/√3 tany = tan30° y = 30°
I. 6x² - 49x + 99 = 0
II. 5y² + 17y + 14 = 0
- Determine the value of m so that the equation x² + mx + 25 = 0 has equal and real roots.
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equation whose roots are ‘3y1�...
I. 2x² + 11x + 12 = 0
II. 2y² + 19y + 45 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
If 3x – 2y = 10 and xy = 11, the value of 27x³ – 8y³ is __________.
The nth term of a sequence is n² + 3n + 1. Find the difference between the 20th and 10th terms.
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?
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