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Find the distance of the plane 3x- 4y+12...

Find the distance of the plane `3x- 4y+12 z=3` from the origin.

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To find the distance of the plane given by the equation \(3x - 4y + 12z = 3\) from the origin, we can use the formula for the distance \(d\) from a point \((x_1, y_1, z_1)\) to a plane defined by the equation \(Ax + By + Cz + D = 0\): \[ d = \frac{|Ax_1 + By_1 + Cz_1 + D|}{\sqrt{A^2 + B^2 + C^2}} \] ### Step-by-Step Solution: ...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: inte^(2x)sinx\ dx

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  2. Evaluate: int(3x+5)/sqrt(x^2-8x+7)\ dx

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  3. Find the distance of the plane 3x- 4y+12 z=3 from the origin.

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  4. Using properties of determinants, Find |(b+c,a,a),(b,c+a,b),(c,c,a+b)|

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  5. If x=a(cos t+t sin t) and y=a(sin t - t cos t), then (d^2y)/dx^2

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  6. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

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  7. Solve the following differential equation: (1+x^2)dy+2x y\ dx=cotx\ ...

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  8. Show that the relation R in the set of real numbers, defined as R="{...

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  9. Express the following matrix as the sum of a symmetric and skew symmet...

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  10. Show that the relation S in the set A={x\ \ Z\ :0\ lt=x\ lt=12} given ...

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  11. A family has 2 children. Find the probability that both are boys, i...

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  12. Find lambda if (2 hat i+6 hat j+14 hat k)xx\ ( hat i-\ lambda hat j+7...

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  13. Evaluate the following: int(x+2)/(sqrt((x-2)(x-3)))\ dx

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  14. Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homoge...

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  15. In a certain college, 4% of boys and 1% of girls are taller than 1....

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  16. Find the vector equation of the plane passing through the points (2,...

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  17. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  18. Prove that the area in the first quadrant enclosed by the axis, the ...

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  19. Show that the altitude of the right circular cone of maximum volume ...

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  20. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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