Mathematics · JEE

Online Practice: Straight line: Various forms of equations of a line, intersection of lines, angles between two lines for JEE

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Q1MathsUnit 10: Co-ordinate Geometry

In the triangle

A B C, P Q

is parallel to

B C .

Find the length of

x

and

y

Q2MathsUnit 10: Co-ordinate Geometry

Solve graphically, the following pairs of equations:

2 x+y=23

4 x-y=19

Q3MathsUnit 10: Co-ordinate Geometry

The bisectors of the angles of a parallelogram enclose a:

Q4MathsUnit 10: Co-ordinate Geometry

In figure, DE||BC, then the value of

x

equals to:

Q5MathsUnit 10: Co-ordinate Geometry

Classify the following pair of line as coincident, parallel or intersecting

\boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\mathbf{3}=\mathbf{0}

\mathbf{3} \boldsymbol{x}-\mathbf{6} \boldsymbol{y}+\mathbf{9}=\mathbf{0}

Q6MathsUnit 10: Co-ordinate Geometry

If the points with position vectors

60 \hat{i}+

\mathbf{3} \hat{\mathbf{j}}, \mathbf{4 0} \hat{\mathbf{i}}-\mathbf{8} \hat{\mathbf{j}}

and

\boldsymbol{a} \hat{\mathbf{i}}-\mathbf{5 2} j

are collinear then

a=?

Q7MathsUnit 10: Co-ordinate Geometry

Line

A B

passes through point (1,2) and intersects the positive

x

and

y

axes at

\boldsymbol{A}(\boldsymbol{a}, \boldsymbol{0})

and

\boldsymbol{B}(\boldsymbol{0}, \boldsymbol{b})

respectively. If the area of

\triangle A O B

is 1 unit the value of

(2 a-b)^{2}

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