Tag: coordinates, points and lines

A circle of radius 2 is concentric with ellipse $\frac{x^{2}}{7}+\frac{y^{2}}{3}=1$ then inclination of common tangent with x-axis - 

A straight line with negative slope passing the point (1, 4) meets the coordinate axes at A and B. The minimum value of OA + OB = 

If a straight line in space is equally inclined to the co-ordinate axes, the cosine of its angle of inclination to any of the axes is 

The line equally inclined to the coordinate axes and equidistant from points 
$A(1,-2)and B(3,4) is$

the inclination of the tangent at$\theta =\frac { \pi  }{ 3 } on\quad the\quad curve\quad x=a\left( \theta +sin\theta  \right) ,y=a\left( 1+cos\theta  \right) is$

The side of a triangle are a. b and $\sqrt{a^2+ab+b^2}$. The greatest angle is 

The difference of the slopes of the lines represented by $x^ {2}(\tan^ {2}\theta+\cos^ {2}\theta)+2xy\tan\theta+y^ {2}\sin^ {2}\theta=0$ is

If the equations of the three sides of a triangle are $2x+3y=1$, $3x+2y+6=0$ and $x+y=1$, then the orthocentre of the triangle lies on the line 

The equation of the line passing through origin and making an angle $30^{\circ}$ with xaxis is

Plane $  2 x+3 y+6 z-15=0  $ passes through $(6,5,k)$ find $k$