[0.9ac-9a^(2)-2c^(2)times0],[0cos+9a^(2)-2c^(2)=0],[0.9ac-9a^(2)-2c^(2)=0],[0.6a+9a^(2)-2c^(2)>0]

If a and c are positive real number and ellipse (x^(2))/(4c^(2))+(y^(2))/(c^(2))=1 has four distinct points in comman with the circle x^(2)+y^(2)=9a^(2), then (A) 6ac+9a^(2)-2c^(2)>0(B)6ac+9a^(2)-2c^(2) 0(D)6ac-9a^(2)-2c^(2)<0

|(0,ab^(2),ac^(2)),(a^(2)b,0,bc^(2)),(a^(2)c,b^(2)c,0)|=

5.Solve 12abx^(2)-9a^(2)x+8b^(2)x-6ab=0

Determine the nature of the roots of the following quadratic equations: 9a^(2)b^(2)x^(2)-24abcdx+16c^(2)d^(2)=0,a!=0,b!=0 (ii) 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 (iii) (b+c)x^(2)-(a+b+c)x+a=0

If x=9 is the chord of contact of the hyperbola x^(2)-y^(2)=9 then the equation of the corresponding pair of tangents is (A)9x^(2)-8y^(2)+18x-9=0(B)9x^(2)-8y^(2)-18x+9=0(C)9x^(2)-8y^(2)-18x-9=0(D)9x^(^^)2-8y^(^^)2+18x+9=0'

9sec^(2)A-9tan^(2)A is equal to (a)1(b)9(c)8 (d) 0

If 9a^(2)-6ab+b^(2)=0 then find a:b

The equation of the circle touching Y-axis at (0,3) and making intercept of 8 units on the axis (a) x^(2)+y^(2)-10x-6y-9=0 (b) x^(2)+y^(2)-10x-6y+9=0 (c) x^(2)+y^(2)+10x-6y-9=0 (d) x^(2)+y^(2)+10x+6y+9=0

if 9^(x+2)=240+9^(x), then x=0.5(b)0.2(c)0.4(d)0.1