| 2024-01-22 | Match the items of Column-I with those in Column II.
\begin{tabular}{|l|l|l|l|}
\hline \multicol.... |
| 2024-01-22 | If the vector \( 2 i-3 j+7 k \) is inclined at angles \( \alpha, \beta, \gamma \) with the coord.... |
| 2024-01-22 | \( P(0,5,6), Q(1,4,7) . R(2,3,7) \) and \( S(3,4,6) \) are four points in the space. The point f.... |
| 2024-01-22 | For non-coplanar vectors \( a, b \) and \( c,|(a \times b) . \mathrm{c}|=|a| \)
\( |b||c| \) hol.... |
| 2024-01-22 | The points \( (0,7,10),(-1,6,6) \) and \( (-4,9,6) \) are the vertices of.... |
| 2024-01-22 | \( \left(x^{2}+y^{2}\right) d y=x y d x \). If \( y\left(x_{0}\right)=e, y(1)=1 \), then value o.... |
| 2024-01-22 | If \( \alpha, \beta, \gamma \) are the angles which a line makes with the coordinate axes, then.... |
| 2024-01-22 | \( P(1,1,1) \) and \( Q(\lambda, \lambda, \lambda) \) are two points in the space such that \( P.... |
| 2024-01-22 | The vectors \( A B=3 i-2 j+2 k \) and \( B C=-i-2 k \) are the adjacent sides of a parallelogram.... |
| 2024-01-22 | If \( r \) satisfies the equation \( r \times(i+2 j+k)=i-k \), then for any scalar \( t, r \) is.... |
| 2024-01-22 | If \( y \cos x+x \cos y=\pi \), then \( y^{\prime \prime}(0) / \pi \) is
\( P \).... |
| 2024-01-22 | The area of a parallelogram having diagonals \( a=3 i \) \( +j-2 k \) and \( b=i-3 j+4 k \) is.... |
| 2024-01-22 | The value of \( \alpha \) for which the vectors \( 2 i-j+k, i+2 j \) \( +\alpha k \) and \( 3 i-.... |
| 2024-01-22 | The solution of differential equation
\( \left(1+y^{2}\right)+\left(x-e^{\tan ^{-1} y}\right) \f.... |
| 2024-01-22 | Let \( |a|=3 \) and \( |b|=4 \). The value of \( \mu \) for which the vectors \( a+\mu b \) and .... |
| 2024-01-22 | A differential equation containing a homogeneous function is called a homogeneous differential e.... |
| 2024-01-22 | The solution of the equation \( \frac{x^{2} d^{2} y}{d x^{2}}=\ln x \), when
\( x=1, y=0 \) and .... |
| 2024-01-22 | A differential equation containing a homogeneous function is called a homogeneous differential e.... |
| 2024-01-22 | The differential equation of the family of curve \( y^{2}=4 a(x+a) \) where \( a \) is arbitrary.... |
| 2024-01-22 | The degree and order of the differential equation of
the family of all parabolas whose axis is \.... |
| 2024-01-22 | If \( \left(\frac{2+\sin x}{1+y}\right) \frac{d y}{d x}=-\cos x, y(0)=1 \), then \( y\left(\frac.... |
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