2023-02-20 | A fast train takes one hour less than a slow train for a journey of \( 200 \mathrm{~km} \). If t... |
2023-02-20 | Determine the nature of the roots of the following quadratic equations:
(i) \( (x-2 a)(x-2 b)=4 ... |
2023-02-20 | Solve for \( x \) :
(i) \( \frac{x-1}{x-2}+\frac{x-3}{x-4}=3 \frac{1}{3} ; x \neq 2,4 \)
(ii) \(... |
2023-02-20 | Prove that \( (5,6),(2,8),(0,6) \) and \( (3,4) \) are
PV the vertices of a parallelogram. Is it... |
2023-02-20 | Show that the points \( A(5,-1), B(8,3), C(4,0) \)
PV and \( D(1,-4) \) are the vertices of a rh... |
2023-02-20 | Show that \( \triangle A B C \), where \( A(-2,0), B(2,0) \),
EV \( C(0,2) \) and \( \triangle P... |
2023-02-20 | Show that quadrilateral \( P Q R S \) formed by vertices \( P(22,5), Q(7,10), R(12,11) \) and \(... |
2023-02-20 | If \( A(-5,7), B(-4,-5), C(-1,-6) \) and \( D(4,5) \) are the vertices of a quadrilateral, find ... |
2023-02-20 | If \( A(-2,1), B(a, 0), C(4, b) \) and \( D(1,2) \) are the
PV vertices of a parallelogram \( A ... |
2023-02-20 | In what ratio, does the \( Y \)-axis divide the line
PV segment joining the points \( P(-4,5) \)... |
2023-02-20 | Find the angle subtended at the origin by the line segment whose end points are \( (0,100) \) an... |
2023-02-20 | If the vertices of a triangle are \( (1,-3),(4, P) \) and \( (-9,7) \)
(W) and its area is 15 sq... |
2023-02-20 | The points \( A, B \) and \( C \) are collinear and \( A B=B C \). If
(W) the coordinates of \( ... |
2023-02-20 | Find the value of \( k \), so that the line joining \( (3,4) \) and
P \( (7,7) \) passes through... |
2023-02-20 | Find the coordinates of the point which divides the
P line segment joining the points \( (-1,-2)... |
2023-02-20 | Find the lengths of the medians of the triangle
P whose vertices are \( (5,6),(3,8) \) and \( (-... |
2023-02-20 | If \( (1,2),(4, y),(x, 6) \) and \( (4,2) \) are the vertices of a
(W) parallelogram taken in or... |
2023-02-20 | Find the coordinates of the mid-point of the line
(W) segment joining the following points:
(i) ... |
2023-02-20 | Find the coordinates of the point which divies the
(W) line segment joining the points \( (3,4) ... |
2023-02-20 | In the following, determine whether the given quadratic equations have real roots and if so, fin... |
2023-02-20 | Solve graphically each of the following systems of linear equations. Also find the coordinates o... |