Equations Of StraightLines
A straight line is represented by an equation of the first degree in two variables (x and y). Conversely locus of an equation of the first degree in two variables is a straight lin..
Straightlines and Family of Straightlines - Test Questions
Question 1 - Question: Find the equation of the line which makes intercepts of 3 and 5 with x-axis and y-axis respectively. Answer: Here, a = 3, b = ..
Question 1 - Question: Find the equation of the line which makes intercepts of 3 and 5 with x-axis and y-axis respectively. Answer: Here, a = 3, b = ..Equation of a line in Normal form
Equation of a line in Normal form - Let AB be any straight line. OP = p is a perpendicular drawn to AB from the origin. Let the co-ordinates of P be (x,y). From right-angled triangle OAP, Again from right-angled triangle OA..
Equation of a line in Normal form - Let AB be any straight line. OP = p is a perpendicular drawn to AB from the origin. Let the co-ordinates of P be (x,y). From right-angled triangle OAP, Again from right-angled triangle OA..Homogenous Equation of Second Degree
A combined equation of the two lines through the origin is a homogenous equation of second degree. - Let the two lines pass through the origin be y = m 1 x and y = m 2 x. i.e. y - m 1 x = 0 and y - m 2 x = 0 Their combined equation is This is clearly a homogenous ..
A combined equation of the two lines through the origin is a homogenous equation of second degree. - Let the two lines pass through the origin be y = m 1 x and y = m 2 x. i.e. y - m 1 x = 0 and y - m 2 x = 0 Their combined equation is This is clearly a homogenous ..
Equation of a line in Intercept form
Equation of a line in Intercept form - Let AB be a line making intercepts OA = a on x-axis and OB = b on y-axis. The coordinates of A = (a, 0) and the coordinates of B = (0,b). Let P(x,y) be any point on AB. Since APB are collinear, Slope of AP = Slope of AB Dividing by ab throughout, we ..
Equation of a line in Intercept form - Let AB be a line making intercepts OA = a on x-axis and OB = b on y-axis. The coordinates of A = (a, 0) and the coordinates of B = (0,b). Let P(x,y) be any point on AB. Since APB are collinear, Slope of AP = Slope of AB Dividing by ab throughout, we ..Question 3
Question: Find the equation of the line which joins the points (a,b) to the Answer: The two given equation are The equation of the line through the intersection of (i) and (ii) is (bx + ay - ab) + l (ax + by - ab) = 0. This line passes through (a,b)..
Question: Find the equation of the line which joins the points (a,b) to the Answer: The two given equation are The equation of the line through the intersection of (i) and (ii) is (bx + ay - ab) + l (ax + by - ab) = 0. This line passes through (a,b)..Equation of the line passing through the intersection of two lines
Equation of the line passing through the intersection of two lines - Let the lines be Let P (h,k) be the point of intersection of L 1 = 0 and L 2 = 0. Now consider the following equations, (v) (vi) This equation is a first degree in x and y and hence this represents a ..
Equation of the line passing through the intersection of two lines - Let the lines be Let P (h,k) be the point of intersection of L 1 = 0 and L 2 = 0. Now consider the following equations, (v) (vi) This equation is a first degree in x and y and hence this represents a ..To show that a homogenous equation of degree n in x and y represents n straight lines passing through the origin
Any homogenous equation of the n t h degree in x and y is This is an n th degree equation in and so has n roots. Let the roots be m 1 , m 2 , ......... m n so that the given equation reduces to ..
Any homogenous equation of the n t h degree in x and y is This is an n th degree equation in and so has n roots. Let the roots be m 1 , m 2 , ......... m n so that the given equation reduces to ..Question 8
Question: Find the equations of the diagonals of the quadrilateral whose ratio in which each diagonal divides the other. Answer: Equation of diagonal AC is or Let this line divide DB in the ratio m:n..
Question: Find the equations of the diagonals of the quadrilateral whose ratio in which each diagonal divides the other. Answer: Equation of diagonal AC is or Let this line divide DB in the ratio m:n..See what our Users say :
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