generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 239

EXERCISE 6.1

Chapter 6: Chapter 6 · MATHEMATICS-VOLUME 1 · EN medium

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. Prove by vector method that if a line is drawn from the centre of a circle to the midpoint of a chord, then the line is perpendicular to the chord. . Prove by vector method that the median to the base of an isosceles triangle is perpendicular to the base. . Prove by vector method that an angle in a semi-circle is a right angle. . Prove by vector method that the diagonals of a rhombus bisect each other at right angles. . Using vector method, prove that if the diagonals of a parallelogram are equal, then it is a rectangle. . Prove by vector method that the area of the quadrilateral ABCD having diagonals AC and BD is |

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 239

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. Prove by vector method that if a line is drawn from the centre of a circle to the midpoint of a chord, then the line is perpendicular to the chord. . Prove by vector method that the median to the base of an isosceles triangle is perpendicular to the base.

. Prove by vector method that an angle in a semi-circle is a right angle. . Prove by vector method that the diagonals of a rhombus bisect each other at right angles.

. Using vector method, prove that if the diagonals of a parallelogram are equal, then it is a rectangle. . Prove by vector method that the area of the quadrilateral ABCD having diagonals AC and BD is |

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