For the equations \(ax + (a^2 + 1)y = 4\) and \(4x + ay = a^2\), which of the following statements is TRUE?
If \( a = -12 \), then \( x = 48 \), \( y = 4 \) are the solutions.
Step 1 – Substitute a = −12: System becomes \(-12x + 145y = 4\) and \(4x - 12y = 144\).
Step 2 – Solve: From the second equation \(x = 36 + 3y\). Substituting gives \(y = 4,\ x = 48\).
Hence option 2.
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Important Questions from Area
What is the area of the triangle ABC with sides a = 10cm and c = 4cm angle B = 30°?
What is the area of the parallelogram?
Consider the following statements :
1. If in a triangle ABC, A = 2B and b = c, then it must be an obtuse-angled triangle.
2. There exists no triangle ABC with A = 40°, B = 65° and a/c = sin 40° cosec 15°Which of the above statements is/are correct?
Which one of the following is the area of a sector of a circle of radius 10 cm formed by an arc length of 15 cm?
Consider the following statements in respect of the points (p, p - 3), (q + 3, q) and (6, 3):
1. The points lie on a straight line.
2. The points always lie in the first quadrant only for any value of p and q.
Which of the above statements is/are correct?
