Class 11

Math

Co-ordinate Geometry

Straight Lines

Find derivative of:$y=cos(cx+d)sin(ax+b) $

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In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.

If the lines joining the origin and the point of intersection of curves $ax_{2}+2hxy+by_{2}+2gx+0$ and $a_{1}x_{2}+2h_{1}xy+b_{1}y_{2}+2g_{1}x=0$ are mutually perpendicular, then prove that $g(a_{1}+b_{1})=g_{1}(a+b)˙$

If the angle between two lines is $4π $and slope of one of the lines is $21 $, find the slope of the other line.

If one of the lines of the pair $ax_{2}+2hxy+by_{2}=0$ bisects the angle between the positive direction of the axes. Then find the relation for $a,b,andh˙$

Find the equation of the line through the intersection of $5x−3y=1$and $2x−3y−23=0$and perpendicular to the line $5x−3y−1=0$.

Line through the points $(2,6)$and $(4,8)$is perpendicular to the line through the points $(8,12)$and $(x,24)$. Find the value of x.

Find the equation of the line perpendicular to the line $ax −by =1$ and passing through a point at which it cuts the x-axis.

If the slope of one of the lines represented by $ax_{2}+2hxy+by_{2}=0$ is the square of the other, then $ha+b +ab8h_{2} =$ (a) 4 (b) 6 (c) 8 (d) none of these