Q. If `1.5 <= x <= 4*5` , then which one of the following is correct ? (a) `(2x-3)(2x-9)>0` (b)`(2x-3)(2x-9)<0` (c) `(2x-3)(2x-9)>=0` (d) `(2x-3)(2x-9)<=0`

Solve x(2^x-1)(3^x-9)^5(x-3)<0.

Solve x(2^x-1)(3^x-9)^5(x-3)<0.

Solve x(2^x-1)(3^x-9)^5(x-3)<0.

Solve the following equations : (i) 2x^(2)-(3+7i)x-3+9i=0 (ii) (2+i)x^(2)-(5-i)x+2(1-i)=0

निम्नलिखित समीकरणों को गुणनखंड विधि द्वारा हल करें- (2x)/(x-3)+1/(2x+3)+(3x+9 )/((x-3)(2x+3))=0

Which of the following equations has the sum of its roots as 3? (a) x^2+3x-5=0 (b) -x^2+3x+3=0 (c) sqrt(2)x^2-3/(sqrt(2))x-1=0 (d) 3x^2-3x-3=0

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

The image of plane 2x-y+z=2 in the plane mirror x+2y-z=3 is (a) x+7y-4x+5=0 (b) 3x+4y-5z+9=0 (c) 7x-y+2z-9=0 (d) None of these

Solve the following equation: (2x)/(x-3)+(1)/(2x+3)+(3x+9)/((x-3)(2x+3))=0 , x ne 3, x ne -(3)/(2)

For x in(0,1) arrange f_(1)(x) = (1)/(9-x^(2)), f_(2)(x) = (1)/(9-2x^(2)) and f_(3)(x) = (1)/(9-x^(2)-x^(3)) in ascending order and hence prove that 1/6 ln2 lt int_(0)^(1)(1)/(9-x^(2)-x^(3)) dx lt (1)/(6sqrt(2)) ln 5 .