| 2023-02-20 | The circle \( x^{2}+y^{2}-8 x=0 \) and hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{4}=1 \) interse... |
| 2023-02-20 | (One or more than one correct option)
Consider the hyperbola \( H: x^{2}-y^{2}=1 \) and a circle... |
| 2023-02-20 | If \( \overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}} \) and \( \overrightarrow{\mathbf... |
| 2023-02-20 | Prove that the points \( (0,0),(5,5) \) and \( (-5,5) \) are the vertices of a right angled isos... |
| 2023-02-20 | (One or more than one correct option)
Let \( P \) be the point on the parabola \( y^{2}=4 x \), ... |
| 2023-02-20 | If the centre of a circle is \( (2 a, a-7) \), then find the values of \( a \), if the circle pa... |
| 2023-02-20 | True and False (IV Points \( (3,2),(-2,-3) \) and \( (2,3) \) form a right triangle. |
| 2023-02-20 | If the points \( A(1,-2), B(2,3), C(-3,2) \) and \( D(-4,-3) \)
(W) are the vertices of a parall... |
| 2023-02-20 | Find the area of a parallelogram \( A B C D \), if three of its
(W) vertices are \( A(2,4), B(2+... |
| 2023-02-20 | Two vertices of a triangle are \( (8,-6) \) and \( (-4,6) \). The
(W) area of the triangle is 12... |
| 2023-02-20 | If two vertices of an equilateral triangle be \( (0,0) \)
(W) \( (3, \sqrt{3}) \). Find the thir... |
| 2023-02-20 | Match the conditions/expressions in Column I with statement in Column II. Normals at \( P, Q, R ... |
| 2023-02-20 | Consider three vectors \( \vec{p}=\hat{i}+\hat{j}+\hat{k}, \vec{q}=2 \hat{i}+4 \hat{j}-\hat{k} \... |
| 2023-02-20 | If \( \lim _{x \rightarrow 0} \frac{1-\cos \left(1-\cos \frac{x}{2}\right)}{2^{\mathrm{m}} x^{\m... |
| 2023-02-20 | Point \( A(-1, y) \) and \( B(5,7) \) lie on a circle with centre
P \( O(2,-3 y) \). Find the va... |
| 2023-02-20 | Show that the quadrilateral whose vertices are
W \( (1,3),(2,6),(5,7) \) and \( (4,4) \) is a rh... |
| 2023-02-20 | If \( \vec{a}, \vec{b}, \vec{c} \& \vec{d} \) are the pvs of the points \( \mathrm{A}, \mathrm{B... |
| 2023-02-20 | A vector of magnitude 10 along the normal to the curve \( 3 x^{2}+8 x y+2 y^{2}-3=0 \) at its po... |
| 2023-02-20 | Show that the points \( A(2,-2), B(14,10), C(11,13) \) and
(W) \( D(-1,1) \) are the vertices of... |
| 2023-02-20 | If two opposite vertices of a rectangle are \( (-1,3) \) and
W \( (4,0) \). Find the coordinates... |
| 2023-02-20 | If \( A(x, y) \) is a point on the line joining the points
E \( B(2,-3) \) and \( C(-4,5) \) and... |
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