### Eamcet - Maths - Matrices Test

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If √2 and 3i are the two roots of a biquadratic equation with rational coefficients,then its equation is

If two circles(x-3) 2+(y-1)2=r2 and x2+y2-6x+4y+4=0 intersect in two distinct points then

The area of the triangle formed by the polar of (1,2) with respect to the circle 2x2+2y2-3x=0 and the coordinate axes (in square units) is

If the line 4x+3y+k=0 is a normal to the circle 2x2+2y2+7x+4y+8=0 then k=

In a throw with a pair of symmetrical dice the probability of obtaining a doublet is

The centre of the circumscribing the quadrilateral whose sides are 3x+y=22, x-3y=14 and 3x+ y=62 is

At a given instant the legs of a right angled triangle are 8 inch and 6 inch respectively. The first leg decreases1inch per minute and second increases at 2 inch per minute. The rate of increasing of the area after 2 minute is

Solution of (dy/dx)=(y+2)/(x-1) is

The angle made by the tangent to the circle x2+y2-8x+6y+20=0 at (3,-1) with the positive direction of the x-axis is

If the circles (x+a) 2+(y+b) 2=a2,(x+α) 2+(y+β) 2=β2 cut orthogonally then α2+b2=

If the circles x2+y2=4 and x2+y2-6x-8y+K=0 touch internally then K=

7 Coupons are numbered 1 to 7. Four are drawn one by one with replacement. The probability that the least number appearing on any selected coupon is greater then or equal to 5 is

If the latusrectum of a hyperbola subtends an angle 600 at the other focus then its e=

If a tangent to the circle x2+y2+4x-4y+4=0 makes equal intercepts on the coordinate axes then the equation of that tangent is

The solution of (dy/dx)=(1+y)/(1-x) is

A question paper contains 5 questions each having an alternative. The number of ways that a student can answer one or more questions is

The harmonic mean of the roots of the equation (5+√2)x2-(4+√5)x+8+2√5)=0 is

If the number of common tangents of the circles x2+y2+8x+6y+21=0, x2+y2+2y-15=0 are 2,then the point of their intersection is

If α, β are the roots of ax2+bx+c=0 then α3+ β3 =

x2 +4ax+3 =0 and 2x2+3ax-9 =0 have a common root, then a =

The equation to the conjugate hyperbola of xy+3x-4y+13=0 is

If the circles x2+y2+2ax+c=0 and x2+y2+2bx+c=0 touch eachother then 1/c=

The transformed equation of x3-(5/2)x2-(7/18)x+(1/108)=0 by removing fractional coefficients is

The angle between the normals at (1, 3),(-3,1) to the circle x2 + y2=10 is

If a tangent to the circle x2 + y2 + 4x - 4y+4=0 makes a equal intercepts on the coordinate axes then the equation of that tangent is

The chords of contact of the pair of tangents to the circle x2+y2=1 drawn from any point on the line 2x+y=4 pass through the point

The slopes of the lines passing through A(2, 0) and making an angle of 450 with the tangent at A to the circle x2 + y2 +4x-6y-12=0 is

Pole of the line x-2y+3=0 with respect to y2=4x is

The locus of the midpoint of the chord of the circle x2+y2=25 which subtends a right angle at (2,-3) is

The coefficient of x2y3z4 in the expansion of (ax-by+cz)9 is

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