| 2023-02-20 | The vertices of a \( \triangle A B C \) are \( A(7,8), B(4,2) \) and \( C(8,2) \). The mid-point... |
| 2023-02-20 | Which one of the following statements is not a tautology?
(2019 Main, 8 AprillI)
(a) \( (p \wedg... |
| 2023-02-20 | The tangent \( P T \) and the normal \( P N \) to the parabola \( y^{2}=4 a x \) at a point \( P... |
| 2023-02-20 | If two opposite vertices of a square are
W \( (5,4) \) and \( (1,-6) \), then find the coordinat... |
| 2023-02-20 | The coordinates of one end point of a diameter of a circle are \( (4,-1) \) and coordinates of t... |
| 2023-02-20 | In the given figure, in \( \triangle A B C, D \) and \( E \) are
W the mid-points of the sides \... |
| 2023-02-20 | The points \( A(0,3), B(-2, a) \) and \( C(-1,4) \) are the vertices of \( \triangle A B C \), r... |
| 2023-02-20 | Analytical \& Descriptive Questions
\( \mathrm{P} \)
Let \( A B C \) be a triangle having \( O \... |
| 2023-02-20 | Let \( A B C \) be an equilateral triangle inscribed in the cirele \( x^{2}+y^{2}=a^{2} \). Supp... |
| 2023-02-20 | (One or more than one correct option)
A solution curve of the differential equation \( \left(x^{... |
| 2023-02-20 | Prove that the points \( (3,0),(6,4) \) and \( (-1,3) \) are the vertices of a right angled isos... |
| 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... |
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