In following symbol series, some of the symbols are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.
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Find the coordinates of the foot of perpendicular from the point (1,3)to the line 3x4y16=0.
Find the slope of the lines:(a) Passing through the points (3,2)and (1.4),(b) Passing through the points (3,2)and (7,2),(c) Passing through the points (3,2)and (3,4),(d) Making inclination of 60owith the p
Find the point of intersection of the pair of straight lines represented by the equation 6x2+5xy−21y2+13x+38y−5=0.
A person standing at the junction (crossing) of two straight paths represented by the equations 2x+3y+4=0and 3x+4y−5= 0 wants to reach the path whose equation is 6x−7y+8=0in the least time. Find
Write the equation of the line for which tanθ=21,where θis the inclination of the line and (i) yintercept is −23(ii) xintercept is 4.
If three lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3are concurrent, then show that m1(c2−c3)+m2(c3−c1)+m3(c1−c2)=0.
Reduce the following equations into slope intercept form and find their slopes and the y intercepts.(i) x+7y=0, (ii) 6x+3y5=0, (iii) y=0.
Find the distance of the point (1,1)from the line 12(x+6)=5(y2).