aiats 14 maths

Q1. single
With usual notation in triangle ABC, if cos^2\frac{B}{2}+cos^2\frac{C}{2}+cosA = \frac{3}{2}
then sinC + sinB = xsinA.. x =
(a) 5 (b) 3 (c) 4 (d) 2

Q2. The distance of the point (2,3,6) from the line \frac{x-1}{1}=\frac{y-2}{2}=\frac{z-3}{3} measured parallel to the plane x+2y-2z+10=0 is

Q3. multi:
Consider that xsinx is positive
xsinxdy+ysinxdx+xcosxydx-x^2dx=0, and y(x=0) = 0, then the value of y at x=pi/2 cannot exceed
(a) 1 (b) 2 (c) 4 (d) 3

Q4. Consider hyperbola S:xy+7x+5y=0. If an ellipse touches the asymptotes of the curve S=0, then the eccentricity of locus of centre of the ellipse is

5 Answers

106
Asish Mahapatra ·

koi hai?

21
eragon24 _Retired ·

Q2)

a). Determine the equation of a plane T passing through P(2,3,6) and parallel to the given plane x+2y-2z+10=0

b) Calculate the coordinates of the point of intersection of the given line and the plane T...

let that point be B

c) the req distance measured parallel to the plane will be BP

11
SANDIPAN CHAKRABORTY ·

did you modify the qsn or it came like this only..

in our paper to it was a mcq in ppr 1.

[1]

29
govind ·

Ans3..
xsinxdy+ysinxdx+xcosxydx=x^2dx

now on integrating both sides u will get

xysinx = \frac{x^{3}}{3} + c

Now using the hints given we get c=0
so the equation reduces to
y = \frac{x^{2}}{3sinx}

4
UTTARA ·

@Asish ; For qs 3

Is it given cos (xy) or (cos x) y

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