Straight Lines questions
982 published questions with worked solutions.
- A beam of light is sent along the line x-y=1. Which after refracting from the x-axis enters the opposite side by turning through...
- Let PQR be a right angled isosceles triangle, right angled at P(2,1). If the equation of the line QR is 2x+y=3, then the equation...
- Equation of a line passing through the line of interception of lines 2x-3y+4=0, 3x+4y-5=0 and perpendicular to 6x-7y+3=0, is
- If a b c and if ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent, then 2^ a^2b^ -1 c^ -1 2^ b^2c^ -1 a^ -1 2^ c^2a^ -1 b^ -1 is...
- A point moves in such a way that the square of its distance from the point (3,-2) is equal to numerically its distance from the...
- The combined equation of the pair of lines through the point (1,0) and parallel to the lines represented by 2x^2-xy-y^2=0, is
- Separate equations of lines for a pair of lines whose equation is x^2+xy-12y^2=0, are
- The equation of the line equidistant from the lines 2x+3y+5=0 and 4x+6y=11 is
- Two lines are drawn through (3,4) each of which makes angle 45^ which line x-y=2, then area of the triangle formed by these lines...
- The determinant vmatrix x&y&1 _1&y_1&1 _2&y_2&1 vmatrix =0 represents
- The value of for which the lines 3x+4y=5, 5x+4y=4 and x+4y=6 meet at a point is
- The parallelism condition for two straight lines one of which is specified by the equation ax+by+c=0 and the other being...
- Triangle ABC with AB=13, BC=5 and AC=12 slides on the coordinates axis with A and B on the positive x-axis and positive y-axis...
- Number of value of b for which in an acute triangle ABC, if the coordinates of orthocentre 'H' are (4,b), centroid 'G' are...
- The sides of a triangle ABC lie on the lines 3x+4y=0, 4x+3y=0 and x=3. Let (h,k) be the centre of the circle inscribed in ABC....
- The line 3x+2y=24 meets the y-axis at A and the x-axis at B. The perpendicular bisector of AB meets the line through (0,-1)...
- For all real values of a and b, lines (2a+b)x+(a+3b)y+(b-3a)=0 and mx+2y+6=0 are concurrent, then |m| is equal to
- Consider a ABC whose sides AB, BC and CA are represents by the straight lines 2x+y=0, x+py=q and x-y=3, respectively. The point P...
- The point A divided the join of P(-5,1), Q(3,5) in the ratio k:1, then the integral value of k for which the area of ABC where B...
- If area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x^2-y^2+4y-4=0 is A, then the value...
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