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Distance formula, sections formula, locus and its equation Mock Test for JEE

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Part of Co-ordinate Geometry in JEE Main Mathematics.

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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}
Q9MathsUnit 10: Co-ordinate Geometry
A company makes a metallic block having square bases with volume 640 cm3,c m^{3}, and height 10cm.10 \mathrm{cm} . If Robin wants to paint the block with the paints at the rate of Rs 15 per cm2c m^{2}, then find the cost of painting Robin has to pay.
Q10MathsUnit 10: Co-ordinate Geometry
Four cubic blocks with edge 4cm4 \mathrm{cm} were kept two on top of two and fused together into a block as shown. Find the total surface area of the block and the cost⁡\operatorname{cost} of painting it at Rs.32R s .32 per cm2c m^{2} \begin{tabular}{|c|c|} \hline 1 & 2 \\ \hline 3 & 4 \\ \hline \end{tabular}
Q11MathsUnit 10: Co-ordinate Geometry
The weight of a cubic meter of a certain metal is 480 kg. It is melted and then rolled into a square bar 4m4 m long. Now, an exact cube is cut from it. Find the weight of the cube
Q12MathsUnit 10: Co-ordinate Geometry
Construct a quadrilateral ABNV\boldsymbol{A B N V} where AV=7cm,BA=8cm,BN=\boldsymbol{A} \boldsymbol{V}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{A}=\mathbf{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= 10cm,NV=5cm\mathbf{1 0} c \boldsymbol{m}, \boldsymbol{N} \boldsymbol{V}=\mathbf{5} \boldsymbol{c m} and BV=11cm\boldsymbol{B} \boldsymbol{V}=\mathbf{1 1} \boldsymbol{c m} The relation between diag. ANA N and diag. BV\boldsymbol{B} \boldsymbol{V} is
Q13MathsUnit 10: Co-ordinate Geometry
The point FF has the co-ordinates (0,-8) IF the distance EF is 10 units, then the co-ordinates of E will be
Q14MathsUnit 10: Co-ordinate Geometry
The points A(−4,1)\boldsymbol{A}(-4,1) B(−2,−2),C(4,0),D(2,3)B(-2,-2), C(4,0), D(2,3) are the vertices of
Q15MathsUnit 10: Co-ordinate Geometry
The value of kk when the distance between the points (3,k)(3, k) and (4,1) is 10\sqrt{10} is

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