Mathematics · JEE

Hard Distance formula, sections formula, locus and its equation MCQs for JEE

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Hard Distance formula, sections formula, locus and its equation MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (18+ on Goodmarks).

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Q1MathsUnit 10: Co-ordinate Geometry
The triangle formed by the points AA ( 2a2 a, 4a),B (2a,6a) and C (2a+\sqrt{3a,5a) is : }
Q2MathsUnit 10: Co-ordinate Geometry
In the adjoining figure AB=\boldsymbol{A B}= 12cm,CD=8cm,BD=20cm12 c m, C D=8 c m, B D=20 \mathrm{cm} ABD=AEC=EDC=90.\angle A B D=\angle A E C=\angle E D C=90^{\circ} . If BE=x,B E=x, then
Q3MathsUnit 10: Co-ordinate Geometry
The perimeter of a triangle formed by points (0,0),(6,0),(0,6)(\mathbf{0}, \mathbf{0}),(\mathbf{6}, \mathbf{0}),(\mathbf{0}, \mathbf{6}) is
Q4MathsUnit 10: Co-ordinate Geometry
ABCDA B C D is a parallelogram. LL is a point on BCB C which divides BCB C in the ratio 1:2.AL\mathbf{1}: \mathbf{2} . \boldsymbol{A} \boldsymbol{L} intersects BD\boldsymbol{B} \boldsymbol{D} at P.M\boldsymbol{P} . \boldsymbol{M} is a point on DCD C which divides DCD C in the ratio 1: 2 and AMA M intersects BDB D in QQ Point PP divides ALA L in the ratio
Q5MathsUnit 10: Co-ordinate Geometry
Mid point A(0,0)\boldsymbol{A}(\mathbf{0}, \mathbf{0}) and B(1024,2048)\boldsymbol{B}(\mathbf{1 0 2 4}, \mathbf{2 0 4 8}) is A1A_{1} and mid point of A1A_{1} and BB is A2A_{2} and so on. Coordinates of A10\boldsymbol{A}_{\mathbf{1 0}} are:
Q6MathsUnit 10: Co-ordinate Geometry
Two quadrilaterals, a square and a rectangle are not similar as they \ldots. in shape as well as size.
Q7MathsUnit 10: Co-ordinate Geometry
A table cover 6m×3m6 m \times 3 m is spread on a table top. If 25cm25 \mathrm{cm} of the cover hangs all around the table then the cost of polishing the table @ Rs 12m212 m^{2} is
Q8MathsUnit 10: Co-ordinate Geometry
Use the following figure to find AEA E, if BD=4.1cmB D=4.1 \mathrm{cm}

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