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Yogita Ingle 5 years, 5 months ago
Properties of Parallelogram :
- Opposite sides are parallel and equal to each other
- Opposite angles are equal
- Diagonals bisect each other
- Diagonals divide the parallelogram into two congruent triangles
- If any one of the angles is <nobr>90∘</nobr>, then all angles are right angle
Properties of Kite:
- Two distinct pairs of adjacent sides are congruent
- Diagonals of a kite intersect at right angles One of the diagonals is the perpendicular bisector of another Angles between unequal sides are equal
Properties of Rhombus:
- All sides are congruent
- Diagonals are perpendicular bisectors of each other
- Each diagonal is the angle bisector of both the opposite angles
- Every rhombus is a parallelogram and a kite with all sides of equal length
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Yogita Ingle 5 years, 5 months ago
Postulate – I :A straight line segment can be formed by joining any two points in space.
Postulate – II: Any straight line can be extended indefinitely on both sides.
Postulate – III: A circle can be drawn with any centre and any radius. For any line segment, a circle can be drawn with its centre at one endpoint and the radius of the circle as the length of the line segment.
Postulate – IV: All right angles are congruent or equal to one another.
Postulate – V: Two lines are parallel to each other if they intersect the third line and the interior angle between them is 180 degrees.
Posted by Geeta Bohra 5 years, 5 months ago
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Sia ? 5 years, 5 months ago
Let p(x) = 3x3 + x2 - 22x + 9 and q(x) = 3x2 + 7x - 6
We know if p(x) is divided by q(x) which is quadratic polynomial therefore
if p(x) is not exactly divisible by q(x) then the remainder be r(x) and degree of r(x) is less than q(x) (or Divisor)
∴By long division method
Let we added ax + b (linear polynomial) is p(x), so that p(x) + ax + b is exactly divisible by 3x2 + 7x - 6.
Hence p(X) + ax + b = s(x) = 3x3 + x2 - 22x + 9
ax + b = 3x3 + x2 - x(22 - a) + (9 + b)
Hence, x(a – 2 + b – 3 = 0 . x + 0)
⇒ a - 2 = 0 & b - 3 = 0 ⇒ a = 2 or b = 3
Hence, if we add ax + b or 2x + 3 in p(x) then it is exactly divisible by 3x2 + 7x - 6.
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Yogita Ingle 5 years, 5 months ago
Linear equations in two variables are equations which can be expressed as ax + by + c = 0, where a, b and c are real numbers and both a, and b are not zero. The solution of such equations is a pair of values for x and y which makes both sides of the equation equal.
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Veera Sharma 5 years, 5 months ago
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