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Mathematics · Class 10
A quadratic equation can be written ax^2 + bx + c = 0 with a not 0. The highest power of x is 2. 3x+2=0 is linear, not quadratic. Collect every term on one side so the other side is 0 before you name a, b, c.
PracticeAdd component-wise: (x1 i + y1 j) + (x2 i + y2 j) = (x1+x2)i + (y1+y2)j. Subtract likewise. k u stretches (or shrinks) by |k| and reverses if k<0. The parallelogram (or triangle) law is the picture of the same addition.
PracticeAdd or subtract only when both matrices have the same order: combine matching entries. Scalar kA multiplies every entry by k. -A is (-1)A. These operations are entry-wise, not row-dot-column (that is multiplication).
PracticeThe angle between a tangent and a chord equals the angle in the alternate (other) segment of the circle. If the tangent-chord angle is 46 deg, the inscribed angle in the alternate segment is 46 deg. This is not 'half the angle' and not automatically 90.