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Find the coordinates of the foot of perpendicular from the point (1,3)to the line 3x4y16=0.
Find the distance between P(x1,y1)and Q(x2,y2)when: (i) PQis parallel to the yaxis, (ii) PQ is parallel to the xaxis.
If one of the lines of the pair ax2+2hxy+by2=0
bisects the angle between the positive direction of the axes. Then find the relation for a,b,andh˙
The two lines represented by 3ax2+5xy+(a2−2)y2=0 are perpendicular to each other for (a) two values of a (b) a (c) for one value of a (d) for no values of a
Show that the pairs of straight lines 2x2+6xy+y2=0
have the same set of angular bisector.
The vertices of Δ PQR are P(2,1), Q(2,3)and R(4,5). Find equation of the median through the vertex R.
x+y=7 and ax2+2hxy+ay2=0,(a=0) , are three real distinct lines forming a triangle. Then the triangle is (a) isosceles (b) scalene equilateral (d) right angled
Reduce the following equations into intercept form and find their intercepts on the axes.(i) 3x+2y12=0, (ii) 4x3y=6, (iii) 3y+2=0.