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Rakesh Yadav Class Notes Advance Maths (Bilingual)

Rakesh Yadav Class Notes Advance Maths (Bilingual)

by Madhurima
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  • Q1
    What is the Angle Bisector Theorem?
    A1

    It states that the internal bisector of an angle of a triangle divides the opposite side in the ratio of adjacent sides.

  • Q2
    When do we use DCT and TCT in circle problems?
    A2

    DCT (Direct Common Tangent) and TCT (Transverse Common Tangent) are used for length of tangents between two non-intersecting circles.

  • Q3
    Formula for the volume of a frustum of a cone?
    A3

    Volume = (1/3)πh (R² + r² + Rr), where h is height, R and r are radii.

  • Q4
    What is the Sine Rule for any triangle?
    A4

    a/sinA = b/sinB = c/sinC = 2R, where R is the circumradius of the triangle.

  • Q5
    Difference between hollow cylinder and solid cylinder volume?
    A5

    Hollow cylinder volume = πh(R² - r²); solid cylinder volume = πR²h.

  • Q6
    What is mass point geometry used for?
    A6

    It solves ratio problems in triangles and cevians using weighted averages without coordinate geometry.

  • Q7
    What is the orthocenter of a right-angled triangle?
    A7

    The orthocenter lies at the vertex of the right angle in a right-angled triangle.

  • Q8
    Relation between trigonometric ratios for complementary angles?
    A8

    sin(90°-θ)=cosθ, cos(90°-θ)=sinθ, tan(90°-θ)=cotθ.

  • Q9
    In an isosceles trapezium, which property holds?
    A9

    Non-parallel sides are equal, base angles are equal, and diagonals are equal.

  • Q10
    What is the circumcenter of an acute triangle?
    A10

    Circumcenter is the intersection of perpendicular bisectors, lying inside an acute triangle.

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Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    What is the Angle Bisector Theorem?
    A1

    It states that the internal bisector of an angle of a triangle divides the opposite side in the ratio of adjacent sides.

  • Q2
    When do we use DCT and TCT in circle problems?
    A2

    DCT (Direct Common Tangent) and TCT (Transverse Common Tangent) are used for length of tangents between two non-intersecting circles.

  • Q3
    Formula for the volume of a frustum of a cone?
    A3

    Volume = (1/3)πh (R² + r² + Rr), where h is height, R and r are radii.

  • Q4
    What is the Sine Rule for any triangle?
    A4

    a/sinA = b/sinB = c/sinC = 2R, where R is the circumradius of the triangle.

  • Q5
    Difference between hollow cylinder and solid cylinder volume?
    A5

    Hollow cylinder volume = πh(R² - r²); solid cylinder volume = πR²h.

  • Q6
    What is mass point geometry used for?
    A6

    It solves ratio problems in triangles and cevians using weighted averages without coordinate geometry.

  • Q7
    What is the orthocenter of a right-angled triangle?
    A7

    The orthocenter lies at the vertex of the right angle in a right-angled triangle.

  • Q8
    Relation between trigonometric ratios for complementary angles?
    A8

    sin(90°-θ)=cosθ, cos(90°-θ)=sinθ, tan(90°-θ)=cotθ.

  • Q9
    In an isosceles trapezium, which property holds?
    A9

    Non-parallel sides are equal, base angles are equal, and diagonals are equal.

  • Q10
    What is the circumcenter of an acute triangle?
    A10

    Circumcenter is the intersection of perpendicular bisectors, lying inside an acute triangle.

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